Finite Group Databasebeta

← #72314291

Subgroups — #72314291

Order 1024.

13249 conjugacy classes of subgroups.

The subgroup lattice has 1559 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#432C211yesmaximal, characteristic, complemented
2C2×#36624C211yesmaximal, characteristic
3C2×#21395C212yesmaximal, complemented
4C2×C4×#380C211yesmaximal, characteristic, complemented
5#374614C212yesmaximal, complemented
6#374536C212yesmaximal, complemented
7#374403C212yesmaximal, complemented
8#374311C212yesmaximal, complemented
9#374221C214yesmaximal, complemented
10#374064C214yesmaximal, complemented
11#358170C214yesmaximal, complemented
12#354203C214yesmaximal, complemented
13#353811C212yesmaximal, complemented
14C22×#532C2211yescharacteristic
15C22×#525—21no—
16C24×C42C2211yescharacteristic
17C22×#432—216no—
18C22×#432—28no—
19C22×#432C2212yes—
20C22×#432C2212yes—
21C22×#432C2212yes—
22C22×#432C2212yes—
23C23×C4⋊C8C2212yes—
24C23×C22⋊C8C2212yes—
25C23×#97C2212yes—
26#36624—28no—
27#36624C4116yescomplemented
28C2×#2857C2211yescharacteristic
29C2×#2857C2211yescharacteristic
30C2×#2856C2211yescharacteristic
31C2×#2856C2211yescharacteristic
32C2×#2854—21no—
33C2×#2854C2212yes—
34C2×#2850—21no—
35C2×#2850—21no—
36C2×#2847—21no—
37C2×#2847C2212yes—
38C2×C4×#121—21no—
39C2×C4×#121—21no—
40C2×C4×#121C2212yes—
41C2×C4×#121C2212yes—
42C2×#2297—21no—
43C2×#2285C2211yescharacteristic
44C22×#380C2212yes—
45C22×C4×C4⋊C4C2212yes—
46C22×C4×C22⋊C4—21no—
47#21395—216no—
48C2×#1987C2214yescomplemented
49C2×#1982C2214yescomplemented
50C2×#1893C2218yes—
51C2×#1874C2218yes—
52C2×#1762C2218yescomplemented
53C4×#380—21no—
54C4×#380—21no—
55C4×#380—21no—
56C4×#380—21no—
57C4×#380C2212yes—
58C4×#380C2212yes—
59C4×#380C2212yes—
60C4×#380C2212yes—
61C2×C4⋊#95C2212yes—
62C2×#1434—21no—
63C2×C22⋊#95—21no—
64C2×C4×#95—21no—
65#11228C2218yescomplemented
66#11199C2218yes—
67#11076C2218yescomplemented
68#10969C2218yes—
69#10927C2218yescomplemented
70#10881C2218yescomplemented
71#10849C2214yescomplemented
72#10849C2214yescomplemented
73#10730C2218yes—
74#10721C2218yes—
75#10703C2218yescomplemented
76C23×#41—21no—
77C25×C4D411yescharacteristic
78C25×C4D411yescharacteristic
79C25×C4C2311yescharacteristic
80C24×C8C2314yes—
81C2×#532—24no—
82C2×#532—28no—
83C2×#532—28no—
84C2×#532C2×C418yes—
85C22×C4⋊Q8C2311yescharacteristic
86C22×#127C2311yescharacteristic
87C22×#124—21no—
88C2×#525—216no—
89C2×#525—416no—
90C22×#123—22no—
91C22×C22⋊Q8—21no—
92C22×C22⋊Q8—21no—
93C22×#121—21no—
94C22×#121—21no—
95C22×#121—21no—
96C22×#121—21no—
97C22×#121—21no—
98C22×#121C2312yes—
99C22×#121C2312yes—
100C22×#121C2312yes—
101C22×#120—22no—
102C22×C4×D4—21no—
103C22×C4×D4—22no—
104C22×C4×D4—22no—
105C22×C4×D4C2312yes—
106C22×#117—21no—
107C23×C4⋊C4C2314yes—
108C23×C22⋊C4—22no—
109C23×C42—28no—
110C23×C42—28no—
111C23×C42—22no—
112C23×C42C2×C418yes—
113C23×C42D418yes—
114C23×C42D411yescharacteristic
115C23×C42D411yescharacteristic
116C23×C42D411yescharacteristic
117C23×C42D411yescharacteristic
118C23×C42D411yescharacteristic
119C23×C42D411yescharacteristic
120C23×C42C2311yescharacteristic
121C23×C42C2311yescharacteristic
122C23×C42C2311yescharacteristic
123C23×C42C2311yescharacteristic
124C23×C42C2311yescharacteristic
125C23×C42C2311yescharacteristic
126C2×#432—2128no—
127C2×#432—28no—
128C2×#432—28no—
129C2×#432—28no—
130C2×#432—28no—
131C2×#432—28no—
132C2×#432—216no—
133C2×#432—216no—
134C2×#432—216no—
135C2×#432D4116yescomplemented
136C22×C4⋊C8—28no—
137C22×C4⋊C8—216no—
138C22×C4⋊C8C2314yes—
139C22×C4⋊C8C2314yes—
140C22×#102C23116yes—
141C22×C22⋊C8—216no—
142C22×C22⋊C8—28no—
143C22×C22⋊C8C2314yes—
144C22×C22⋊C8C2314yes—
145C22×#97—28no—
146C22×#97—216no—
147C22×#97C2314yes—
148C22×#97C2314yes—
149#2857—24no—
150#2857—24no—
151#2857C2×C418yescomplemented
152#2857C2×C418yescomplemented
153#2856—24no—
154#2856—24no—
155#2856C2×C418yescomplemented
156#2856C2×C418yescomplemented
157#2854—216no—
158#2854—28no—
159#2854C2×C4116yes—
160#2850—216no—
161#2850—216no—
162#2847—216no—
163#2847—28no—
164#2847C2×C4116yes—
165C4×#121—216no—
166C4×#121—216no—
167C4×#121—28no—
168C4×#121—28no—
169C4×#121C2×C4116yescomplemented
170C4×#121C2×C4116yescomplemented
171#2297—216no—
172C2×#391—21no—
173C2×#391—21no—
174C2×#390—21no—
175C2×#390—21no—
176C2×#390—21no—
177C2×#390—21no—
178C2×#390C2312yes—
179C2×#390C2312yes—
180C2×#389—21no—
181C2×#389—21no—
182C2×#389C2312yes—
183C2×#389C2312yes—
184C2×#388—22no—
185C2×#388—22no—
186C2×#388—22no—
187C2×#388—22no—
188C2×#386—22no—
189C2×#386—22no—
190C2×#386—22no—
191C2×#386—22no—
192C2×#386—22no—
193C2×#386—22no—
194#2285—24no—
195#2285C2×C418yes—
196C2×#384C2311yescharacteristic
197C2×#384C2311yescharacteristic
198C2×#382—21no—
199C2×#380—216no—
200C2×#380—21no—
201C2×#380—21no—
202C2×#380—21no—
203C2×#380—22no—
204C2×#380—22no—
205C2×#380C2314yes—
206C2×#380C2312yes—
207C2×#380C2312yes—
208C2×#380C2312yes—
209C2×#380C2314yes—
210C2×C4×C4⋊C4—21no—
211C2×C4×C4⋊C4—22no—
212C2×C4×C4⋊C4—22no—
213C2×C4×C4⋊C4—28no—
214C2×C4×C4⋊C4—28no—
215C2×C4×C4⋊C4C2314yes—
216C2×C4×C4⋊C4C2314yes—
217C2×C4×C4⋊C4C2312yes—
218C2×C4×C22⋊C4—22no—
219C2×C4×C22⋊C4—22no—
220C2×C4×C22⋊C4—22no—
221C2×C4×C22⋊C4—22no—
222C2×C4×C22⋊C4—22no—
223C2×C4×C22⋊C4—22no—
224C2×C4×C22⋊C4—48no—
225C22×#95—22no—
226C22×#95—22no—
227C22×#95—22no—
228C22×#95—22no—
229#1987—216no—
230#1982—216no—
231#1893—232no—
232#1874—232no—
233#1762—232no—
234C2×#340C23116yes—
235C2×#340C23116yes—
236C2×#340C23116yes—
237C4⋊#95—22no—
238C4⋊#95—22no—
239C4⋊#95C2314yes—
240C4⋊#95C2314yes—
241#1434—22no—
242#1434—22no—
243#1434—22no—
244#1434—22no—
245C22⋊#95—22no—
246C22⋊#95—22no—
247C22⋊#95—22no—
248C22⋊#95—22no—
249C4×#95—22no—
250C4×#95—22no—
251C4×#95—22no—
252C4×#95—22no—
253C26C2×D411yescharacteristic
254C22×#41—28no—
255C22×#41—48no—
256C22×#41—48no—
257C22×#41—48no—
258C23×Q8—21no—
259C23×D4—22no—
260C23×D4—22no—
261C23×D4—22no—
262C23×D4—21no—
263C23×D4—21no—
264C23×D4C2412yes—
265C24×C4—28no—
266C24×C4—28no—
267C24×C4—28no—
268C24×C4—24no—
269C24×C4—24no—
270C24×C4—24no—
271C24×C4—24no—
272C24×C4—28no—
273C24×C4—24no—
274C24×C4—22no—
275C24×C4—44no—
276C24×C4—44no—
277C24×C4—44no—
278C24×C4C22⋊C418yes—
279C24×C4C22⋊C418yes—
280C24×C4C22×C414yes—
281C24×C4C2×D411yescharacteristic
282C24×C4C2×D411yescharacteristic
283C24×C4C2×D411yescharacteristic
284C24×C4C2×D411yescharacteristic
285C24×C4C2×D411yescharacteristic
286C24×C4C2×D411yescharacteristic
287C24×C4C2×D411yescharacteristic
288C24×C4C2×D411yescharacteristic
289C24×C4C2×D411yescharacteristic
290C24×C4C2×D411yescharacteristic
291C24×C4C2×D411yescharacteristic
292C24×C4C2×D411yescharacteristic
293C24×C4C2×D414yes—
294C24×C4C2×D411yescharacteristic
295C24×C4C2×D411yescharacteristic
296C24×C4C2×D411yescharacteristic
297C24×C4C2411yescharacteristic
298C24×C4C2411yescharacteristic
299C24×C4C2411yescharacteristic
300C23×C8—28no—
301C23×C8—216no—
302C23×C8—216no—
303C23×C8—48no—
304C23×C8C2418yes—
305#532—264no—
306#532—416no—
307#532—416no—
308C2×C4⋊Q8—22no—
309C2×C4⋊Q8—24no—
310C2×C4⋊Q8—24no—
311C2×C4⋊Q8C22×C414yes—
312C2×#127—24no—
313C2×#127—22no—
314C2×#127—24no—
315C2×#127C22×C414yes—
316C2×#124—28no—
317C2×#124—48no—
318#525—4128no—
319C2×#123—216no—
320C2×#123—416no—
321C2×C22⋊Q8—28no—
322C2×C22⋊Q8—28no—
323C2×C22⋊Q8—48no—
324C2×C22⋊Q8—48no—
325C2×#121—28no—
326C2×#121—28no—
327C2×#121—28no—
328C2×#121—28no—
329C2×#121—28no—
330C2×#121—24no—
331C2×#121—24no—
332C2×#121—24no—
333C2×#121—28no—
334C2×#121—216no—
335C2×#121—28no—
336C2×#121—48no—
337C2×#121—48no—
338C2×#121—48no—
339C2×#121—48no—
340C2×#121—48no—
341C2×#121—44no—
342C2×#121—44no—
343C2×#121C22×C418yes—
344C2×#121C22×C418yes—
345C2×#121C22×C418yes—
346C2×#120—216no—
347C2×#120—416no—
348C2×C4×D4—216no—
349C2×C4×D4—216no—
350C2×C4×D4—28no—
351C2×C4×D4—24no—
352C2×C4×D4—28no—
353C2×C4×D4—28no—
354C2×C4×D4—416no—
355C2×C4×D4—416no—
356C2×C4×D4—48no—
357C2×C4×D4C22×C418yes—
358C2×#117—28no—
359C2×#117—48no—
360C22×C4⋊C4—24no—
361C22×C4⋊C4—21no—
362C22×C4⋊C4—21no—
363C22×C4⋊C4—21no—
364C22×C4⋊C4—22no—
365C22×C4⋊C4—22no—
366C22×C4⋊C4—21no—
367C22×C4⋊C4—21no—
368C22×C4⋊C4—216no—
369C22×C4⋊C4—28no—
370C22×C4⋊C4—28no—
371C22×C4⋊C4—48no—
372C22×C4⋊C4C2412yes—
373C22×C4⋊C4C2412yes—
374C22×C4⋊C4C2412yes—
375C22×C4⋊C4C2418yes—
376C22×C22⋊C4—216no—
377C22×C22⋊C4—24no—
378C22×C22⋊C4—24no—
379C22×C22⋊C4—22no—
380C22×C22⋊C4—22no—
381C22×C22⋊C4—22no—
382C22×C22⋊C4—22no—
383C22×C22⋊C4—22no—
384C22×C22⋊C4—22no—
385C22×C22⋊C4—22no—
386C22×C22⋊C4—22no—
387C22×C22⋊C4—22no—
388C22×C22⋊C4—22no—
389C22×C22⋊C4—22no—
390C22×C22⋊C4—48no—
391C22×C22⋊C4—48no—
392C22×C42—28no—
393C22×C42—28no—
394C22×C42—24no—
395C22×C42—24no—
396C22×C42—264no—
397C22×C42—232no—
398C22×C42—28no—
399C22×C42—28no—
400C22×C42—28no—
401C22×C42—28no—
402C22×C42—232no—
403C22×C42—24no—
404C22×C42—24no—
405C22×C42—24no—
406C22×C42—24no—
407C22×C42—24no—
408C22×C42—24no—
409C22×C42—24no—
410C22×C42—24no—
411C22×C42—22no—
412C22×C42—24no—
413C22×C42—24no—
414C22×C42—48no—
415C22×C42—48no—
416C22×C42—48no—
417C22×C42C22⋊C418yes—
418C22×C42C22⋊C418yes—
419C22×C42C22⋊C418yes—
420C22×C42C22⋊C418yes—
421C22×C42C22⋊C418yes—
422C22×C42C22⋊C418yes—
423C22×C42C22×C414yes—
424C22×C42C22×C414yes—
425C22×C42C22×C414yes—
426C22×C42C22×C414yes—
427C22×C42C22×C414yes—
428C22×C42C22×C414yes—
429C22×C42C2×D411yescharacteristic
430C22×C42C2×D411yescharacteristic
431C22×C42C2×D411yescharacteristic
432C22×C42C2×D411yescharacteristic
433C22×C42C2×D411yescharacteristic
434C22×C42C2×D411yescharacteristic
435C22×C42C2×D411yescharacteristic
436C22×C42C2×D411yescharacteristic
437C22×C42C2×D411yescharacteristic
438C22×C42C2×D411yescharacteristic
439C22×C42C2×D414yes—
440C22×C42C2×D414yes—
441C22×C42C2×D414yes—
442C22×C42C2×D414yes—
443C22×C42C2×D414yes—
444C22×C42C2×D411yescharacteristic
445C22×C42C2×D411yescharacteristic
446C22×C42C2×D414yes—
447C22×C42C2×D418yes—
448C22×C42#4118yes—
449C22×C42C2411yescharacteristic
450C22×C42C2411yescharacteristic
451C22×C42C2411yescharacteristic
452C22×C42C2411yescharacteristic
453#432—264no—
454#432—264no—
455#432—264no—
456#432—264no—
457C2×C4⋊C8—264no—
458C2×C4⋊C8—216no—
459C2×C4⋊C8—28no—
460C2×C4⋊C8—28no—
461C2×C4⋊C8—28no—
462C2×C4⋊C8C2×D4116yes—
463C2×#102—232no—
464C2×#102—232no—
465C2×#102—416no—
466C2×C22⋊C8—264no—
467C2×C22⋊C8—28no—
468C2×C22⋊C8—28no—
469C2×C22⋊C8—28no—
470C2×C22⋊C8—216no—
471C2×C22⋊C8C2×D4116yes—
472C2×#97—264no—
473C2×#97—216no—
474C2×#97—28no—
475C2×#97—28no—
476C2×#97—28no—
477C2×#97C2×D4116yes—
478#391—28no—
479#391—28no—
480#390—28no—
481#390—28no—
482#390—28no—
483#390—28no—
484#390—24no—
485#390—24no—
486#390C22×C418yes—
487#390C22×C418yes—
488#389—28no—
489#389—28no—
490#389—24no—
491#389—24no—
492#389C22×C418yes—
493#389C22×C418yes—
494#388—216no—
495#388—216no—
496#388—216no—
497#388—216no—
498#386—216no—
499#386—216no—
500#386—216no—
501#386—216no—
502#386—216no—
503#386—216no—
504#384—22no—
505#384—22no—
506#384C22×C414yes—
507#384C22×C414yes—
508#382—28no—
509#380—216no—
510#380—216no—
511#380—28no—
512#380—28no—
513#380—28no—
514#380—24no—
515#380—24no—
516#380—24no—
517#380—28no—
518#380—216no—
519#380C22×C418yes—
520#380C22×C418yes—
521#380C22×C418yes—
522#380#41116yescomplemented
523C4×C4⋊C4—28no—
524C4×C4⋊C4—24no—
525C4×C4⋊C4—28no—
526C4×C4⋊C4—28no—
527C4×C4⋊C4—28no—
528C4×C4⋊C4—28no—
529C4×C4⋊C4—48no—
530C4×C4⋊C4—48no—
531C4×C4⋊C4C22×C418yes—
532C4×C22⋊C4—216no—
533C4×C22⋊C4—216no—
534C4×C22⋊C4—48no—
535C4×C22⋊C4—48no—
536C4×C22⋊C4—48no—
537C4×C22⋊C4—48no—
538C2×#95—216no—
539C2×#95—24no—
540C2×#95—24no—
541C2×#95—22no—
542C2×#95—22no—
543C2×#95—22no—
544C2×#95—22no—
545C2×#95—22no—
546C2×#95—22no—
547C2×#95—24no—
548C2×#95—24no—
549C2×#95—24no—
550C2×#95—24no—
551C2×#95—24no—
552C2×#95—24no—
553C2×#95—48no—
554C2×#95—48no—
555C2×#95—48no—
556#340—232no—
557#340—232no—
558#340—416no—
559C25—24no—
560C25—24no—
561C25—22no—
562C25—22no—
563C25—24no—
564C25—22no—
565C25—42no—
566C25—42no—
567C25C2×C22⋊C414yes—
568C25AGL(1,ℤ/8)18yes—
569C25C22×D411yescharacteristic
570C25C22×D411yescharacteristic
571C25C22×D411yescharacteristic
572C2×#41—432no—
573C2×#41—432no—
574C2×#41—432no—
575C2×#41—864no—
576C22×Q8—24no—
577C22×Q8—44no—
578C22×Q8—44no—
579C22×Q8—44no—
580C22×D4—28no—
581C22×D4—28no—
582C22×D4—28no—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—24no—
586C22×D4—22no—
587C22×D4—24no—
588C22×D4—28no—
589C22×D4—28no—
590C22×D4—44no—
591C22×D4—44no—
592C22×D4—48no—
593C22×D4—48no—
594C22×D4—48no—
595C22×D4—48no—
596C22×D4—48no—
597C22×D4—48no—
598C22×D4—48no—
599C22×D4—44no—
600C22×D4—44no—
601C22×D4—48no—
602C22×D4—44no—
603C22×D4—44no—
604C22×D4—42no—
605C22×D4—42no—
606C22×D4—44no—
607C22×D4C23×C414yes—
608C23×C4—24no—
609C23×C4—24no—
610C23×C4—24no—
611C23×C4—22no—
612C23×C4—22no—
613C23×C4—24no—
614C23×C4—24no—
615C23×C4—22no—
616C23×C4—24no—
617C23×C4—22no—
618C23×C4—24no—
619C23×C4—24no—
620C23×C4—24no—
621C23×C4—24no—
622C23×C4—24no—
623C23×C4—24no—
624C23×C4—24no—
625C23×C4—24no—
626C23×C4—24no—
627C23×C4—24no—
628C23×C4—24no—
629C23×C4—22no—
630C23×C4—22no—
631C23×C4—24no—
632C23×C4—232no—
633C23×C4—216no—
634C23×C4—216no—
635C23×C4—28no—
636C23×C4—24no—
637C23×C4—24no—
638C23×C4—24no—
639C23×C4—24no—
640C23×C4—24no—
641C23×C4—24no—
642C23×C4—24no—
643C23×C4—24no—
644C23×C4—24no—
645C23×C4—28no—
646C23×C4—24no—
647C23×C4—24no—
648C23×C4—216no—
649C23×C4—22no—
650C23×C4—22no—
651C23×C4—22no—
652C23×C4—22no—
653C23×C4—22no—
654C23×C4—22no—
655C23×C4—24no—
656C23×C4—22no—
657C23×C4—24no—
658C23×C4—22no—
659C23×C4—24no—
660C23×C4—232no—
661C23×C4—232no—
662C23×C4—232no—
663C23×C4—216no—
664C23×C4—22no—
665C23×C4—22no—
666C23×C4—22no—
667C23×C4—28no—
668C23×C4—28no—
669C23×C4—416no—
670C23×C4—48no—
671C23×C4—48no—
672C23×C4—416no—
673C23×C4—42no—
674C23×C4—42no—
675C23×C4—42no—
676C23×C4—42no—
677C23×C4—42no—
678C23×C4—42no—
679C23×C4—42no—
680C23×C4—42no—
681C23×C4—42no—
682C23×C4—42no—
683C23×C4—432no—
684C23×C4—432no—
685C23×C4—432no—
686C23×C4—432no—
687C23×C4—464no—
688C23×C4—48no—
689C23×C4—48no—
690C23×C4—48no—
691C23×C4—48no—
692C23×C4—48no—
693C23×C4—48no—
694C23×C4—48no—
695C23×C4—48no—
696C23×C4—48no—
697C23×C4C2×C22⋊C414yes—
698C23×C4C2×C22⋊C414yes—
699C23×C4C2×C22⋊C414yes—
700C23×C4C2×C22⋊C414yes—
701C23×C4C2×C22⋊C414yes—
702C23×C4C2×C22⋊C414yes—
703C23×C4C2×C22⋊C414yes—
704C23×C4C2×C22⋊C414yes—
705C23×C4C2×C22⋊C414yes—
706C23×C4C2×C22⋊C414yes—
707C23×C4C2×C22⋊C414yes—
708C23×C4C2×C22⋊C414yes—
709C23×C4C2×C22⋊C414yes—
710C23×C4C2×C22⋊C414yes—
711C23×C4C2×C22⋊C414yes—
712C23×C4#12118yes—
713C23×C4#12118yes—
714C23×C4AGL(1,ℤ/8)14yes—
715C23×C4#13714yes—
716C23×C4C23×C412yes—
717C23×C4C23×C412yes—
718C23×C4C23×C412yes—
719C23×C4C22×D411yescharacteristic
720C23×C4C22×D411yescharacteristic
721C23×C4C22×D411yescharacteristic
722C23×C4C22×D411yescharacteristic
723C23×C4C22×D412yes—
724C23×C4C22×D411yescharacteristic
725C23×C4C22×D411yescharacteristic
726C23×C4C22×D411yescharacteristic
727C23×C4C22×D411yescharacteristic
728C23×C4C22×D411yescharacteristic
729C23×C4C22×D411yescharacteristic
730C23×C4C22×D412yes—
731C23×C4C22×D412yes—
732C23×C4C22×D414yes—
733C23×C4C22×D411yescharacteristic
734C23×C4C2×#4114yes—
735C23×C4C2×#4118yes—
736C23×C4C2511yescharacteristic
737C22×C8—232no—
738C22×C8—28no—
739C22×C8—28no—
740C22×C8—216no—
741C22×C8—216no—
742C22×C8—464no—
743C22×C8—416no—
744C22×C8—416no—
745C22×C8C22×D4116yes—
746C4⋊Q8—216no—
747C4⋊Q8—44no—
748C4⋊Q8—44no—
749#127—216no—
750#127—44no—
751#127—44no—
752#124—432no—
753#123—464no—
754C22⋊Q8—432no—
755C22⋊Q8—432no—
756#121—232no—
757#121—232no—
758#121—416no—
759#121—432no—
760#121—416no—
761#121—432no—
762#121—432no—
763#121—48no—
764#121—48no—
765#121—416no—
766#121—432no—
767#121—432no—
768#120—464no—
769C4×D4—232no—
770C4×D4—464no—
771C4×D4—464no—
772C4×D4—48no—
773C4×D4—48no—
774C4×D4—432no—
775#117—432no—
776C2×C4⋊C4—28no—
777C2×C4⋊C4—24no—
778C2×C4⋊C4—28no—
779C2×C4⋊C4—24no—
780C2×C4⋊C4—28no—
781C2×C4⋊C4—28no—
782C2×C4⋊C4—28no—
783C2×C4⋊C4—28no—
784C2×C4⋊C4—216no—
785C2×C4⋊C4—24no—
786C2×C4⋊C4—24no—
787C2×C4⋊C4—24no—
788C2×C4⋊C4—28no—
789C2×C4⋊C4—28no—
790C2×C4⋊C4—24no—
791C2×C4⋊C4—24no—
792C2×C4⋊C4—22no—
793C2×C4⋊C4—22no—
794C2×C4⋊C4—22no—
795C2×C4⋊C4—28no—
796C2×C4⋊C4—432no—
797C2×C4⋊C4—432no—
798C2×C4⋊C4—48no—
799C2×C4⋊C4—44no—
800C2×C4⋊C4—44no—
801C2×C4⋊C4—48no—
802C2×C4⋊C4—48no—
803C2×C4⋊C4—48no—
804C2×C4⋊C4—44no—
805C2×C4⋊C4—42no—
806C2×C4⋊C4—42no—
807C2×C4⋊C4—44no—
808C2×C4⋊C4C23×C414yes—
809C2×C4⋊C4C23×C414yes—
810C2×C4⋊C4C23×C414yes—
811C2×C4⋊C4C2×#41116yes—
812C2×C22⋊C4—216no—
813C2×C22⋊C4—28no—
814C2×C22⋊C4—28no—
815C2×C22⋊C4—28no—
816C2×C22⋊C4—216no—
817C2×C22⋊C4—28no—
818C2×C22⋊C4—28no—
819C2×C22⋊C4—28no—
820C2×C22⋊C4—28no—
821C2×C22⋊C4—28no—
822C2×C22⋊C4—28no—
823C2×C22⋊C4—28no—
824C2×C22⋊C4—28no—
825C2×C22⋊C4—48no—
826C2×C22⋊C4—48no—
827C2×C22⋊C4—48no—
828C2×C22⋊C4—48no—
829C2×C22⋊C4—464no—
830C2×C22⋊C4—48no—
831C2×C22⋊C4—48no—
832C2×C22⋊C4—48no—
833C2×C22⋊C4—48no—
834C2×C22⋊C4—48no—
835C2×C22⋊C4—48no—
836C2×C22⋊C4—48no—
837C2×C22⋊C4—48no—
838C2×C22⋊C4—48no—
839C2×C22⋊C4—48no—
840C2×C22⋊C4—44no—
841C2×C22⋊C4—44no—
842C2×C42—216no—
843C2×C42—28no—
844C2×C42—24no—
845C2×C42—24no—
846C2×C42—24no—
847C2×C42—24no—
848C2×C42—24no—
849C2×C42—24no—
850C2×C42—24no—
851C2×C42—24no—
852C2×C42—24no—
853C2×C42—24no—
854C2×C42—28no—
855C2×C42—22no—
856C2×C42—22no—
857C2×C42—22no—
858C2×C42—22no—
859C2×C42—232no—
860C2×C42—232no—
861C2×C42—216no—
862C2×C42—216no—
863C2×C42—216no—
864C2×C42—216no—
865C2×C42—28no—
866C2×C42—28no—
867C2×C42—28no—
868C2×C42—28no—
869C2×C42—28no—
870C2×C42—28no—
871C2×C42—28no—
872C2×C42—28no—
873C2×C42—232no—
874C2×C42—232no—
875C2×C42—232no—
876C2×C42—232no—
877C2×C42—28no—
878C2×C42—48no—
879C2×C42—48no—
880C2×C42—48no—
881C2×C42—48no—
882C2×C42—48no—
883C2×C42—48no—
884C2×C42—48no—
885C2×C42—832no—
886C2×C42C2×C22⋊C414yes—
887C2×C42C2×C22⋊C414yes—
888C2×C42C2×C22⋊C414yes—
889C2×C42C2×C22⋊C414yes—
890C2×C42C2×C22⋊C414yes—
891C2×C42C2×C22⋊C414yes—
892C2×C42C2×C22⋊C414yes—
893C2×C42C2×C22⋊C414yes—
894C2×C42C2×C22⋊C414yes—
895C2×C42C2×C22⋊C414yes—
896C2×C42C2×C22⋊C414yes—
897C2×C42C2×C22⋊C414yes—
898C2×C42C4×D4132yes—
899C2×C42#120116yes—
900C2×C42#12118yes—
901C2×C42#12118yes—
902C2×C42#123116yes—
903C2×C42C23×C412yes—
904C2×C42C23×C412yes—
905C2×C42C23×C412yes—
906C2×C42C23×C412yes—
907C2×C42C22×D412yes—
908C2×C42C22×D412yes—
909C2×C42C22×D414yes—
910C2×C42C22×D414yes—
911C2×C42C22×D412yes—
912C2×C42C22×D412yes—
913C2×C42C2×#4114yes—
914C2×C42C2×#4114yes—
915C4⋊C8—232no—
916C4⋊C8—232no—
917#102—464no—
918C22⋊C8—232no—
919C22⋊C8—232no—
920#97—232no—
921#97—232no—
922#95—216no—
923#95—28no—
924#95—28no—
925#95—28no—
926#95—28no—
927#95—28no—
928#95—28no—
929#95—216no—
930#95—48no—
931#95—48no—
932#95—48no—
933#95—48no—
934#95—48no—
935#95—48no—
936C24—22no—
937C24—22no—
938C24—22no—
939C24—22no—
940C24—21no—
941C24—21no—
942C24—22no—
943C24—22no—
944C24—22no—
945C24—216no—
946C24—216no—
947C24—28no—
948C24—28no—
949C24—22no—
950C24—22no—
951C24—22no—
952C24—28no—
953C24—232no—
954C24—28no—
955C24—21no—
956C24—21no—
957C24—22no—
958C24—22no—
959C24—24no—
960C24—44no—
961C24—44no—
962C24—416no—
963C24—48no—
964C24—48no—
965C24—416no—
966C24—48no—
967C24—48no—
968C24—416no—
969C24—44no—
970C24—44no—
971C24—44no—
972C24—44no—
973C24—42no—
974C24—42no—
975C24—44no—
976C24—44no—
977C24#418116yes—
978C24C22×C22⋊C412yes—
979C24C22×C22⋊C412yes—
980C24C22×C22⋊C412yes—
981C24C2×#12114yes—
982C24#52514yes—
983C24C2×AGL(1,ℤ/8)14yes—
984C24C2×AGL(1,ℤ/8)12yes—
985C24C2×AGL(1,ℤ/8)14yes—
986C24C2×AGL(1,ℤ/8)14yes—
987C24C2×#13712yes—
988C24#57514yes—
989C24C23×D411yescharacteristic
990#41—8128no—
991C2×Q8—48no—
992C2×Q8—48no—
993C2×Q8—48no—
994C2×Q8—816no—
995C2×D4—28no—
996C2×D4—28no—
997C2×D4—28no—
998C2×D4—48no—
999C2×D4—48no—
1000C2×D4—416no—
1001C2×D4—416no—
1002C2×D4—416no—
1003C2×D4—416no—
1004C2×D4—416no—
1005C2×D4—416no—
1006C2×D4—416no—
1007C2×D4—416no—
1008C2×D4—416no—
1009C2×D4—48no—
1010C2×D4—48no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—416no—
1016C2×D4—416no—
1017C2×D4—48no—
1018C2×D4—48no—
1019C2×D4—816no—
1020C2×D4—832no—
1021C2×D4—816no—
1022C2×D4—816no—
1023C2×D4—832no—
1024C2×D4—88no—
1025C2×D4—88no—
1026C22×C4—28no—
1027C22×C4—28no—
1028C22×C4—22no—
1029C22×C4—22no—
1030C22×C4—22no—
1031C22×C4—22no—
1032C22×C4—22no—
1033C22×C4—232no—
1034C22×C4—21no—
1035C22×C4—22no—
1036C22×C4—22no—
1037C22×C4—21no—
1038C22×C4—22no—
1039C22×C4—22no—
1040C22×C4—22no—
1041C22×C4—22no—
1042C22×C4—28no—
1043C22×C4—28no—
1044C22×C4—28no—
1045C22×C4—24no—
1046C22×C4—24no—
1047C22×C4—24no—
1048C22×C4—24no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—24no—
1052C22×C4—24no—
1053C22×C4—24no—
1054C22×C4—216no—
1055C22×C4—216no—
1056C22×C4—216no—
1057C22×C4—216no—
1058C22×C4—28no—
1059C22×C4—216no—
1060C22×C4—216no—
1061C22×C4—216no—
1062C22×C4—216no—
1063C22×C4—28no—
1064C22×C4—28no—
1065C22×C4—28no—
1066C22×C4—28no—
1067C22×C4—28no—
1068C22×C4—28no—
1069C22×C4—28no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—28no—
1077C22×C4—28no—
1078C22×C4—28no—
1079C22×C4—28no—
1080C22×C4—21no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—21no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—28no—
1088C22×C4—28no—
1089C22×C4—28no—
1090C22×C4—28no—
1091C22×C4—24no—
1092C22×C4—24no—
1093C22×C4—24no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—24no—
1097C22×C4—24no—
1098C22×C4—28no—
1099C22×C4—28no—
1100C22×C4—28no—
1101C22×C4—28no—
1102C22×C4—28no—
1103C22×C4—28no—
1104C22×C4—28no—
1105C22×C4—28no—
1106C22×C4—28no—
1107C22×C4—28no—
1108C22×C4—28no—
1109C22×C4—24no—
1110C22×C4—24no—
1111C22×C4—24no—
1112C22×C4—216no—
1113C22×C4—44no—
1114C22×C4—44no—
1115C22×C4—44no—
1116C22×C4—44no—
1117C22×C4—44no—
1118C22×C4—44no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—44no—
1122C22×C4—44no—
1123C22×C4—48no—
1124C22×C4—48no—
1125C22×C4—416no—
1126C22×C4—464no—
1127C22×C4—432no—
1128C22×C4—4128no—
1129C22×C4—432no—
1130C22×C4—48no—
1131C22×C4—416no—
1132C22×C4—416no—
1133C22×C4—416no—
1134C22×C4—416no—
1135C22×C4—48no—
1136C22×C4—48no—
1137C22×C4—48no—
1138C22×C4—416no—
1139C22×C4—416no—
1140C22×C4—4128no—
1141C22×C4—416no—
1142C22×C4—416no—
1143C22×C4—416no—
1144C22×C4—48no—
1145C22×C4—48no—
1146C22×C4—48no—
1147C22×C4—48no—
1148C22×C4—432no—
1149C22×C4—432no—
1150C22×C4—432no—
1151C22×C4—48no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—48no—
1156C22×C4—48no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—48no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—48no—
1164C22×C4—48no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—416no—
1168C22×C4—832no—
1169C22×C4—816no—
1170C22×C4—816no—
1171C22×C4—816no—
1172C22×C4—816no—
1173C22×C4#386116yes—
1174C22×C4#386116yes—
1175C22×C4#417116yes—
1176C22×C4C22×C22⋊C412yes—
1177C22×C4C22×C22⋊C412yes—
1178C22×C4C22×C22⋊C412yes—
1179C22×C4C22×C22⋊C412yes—
1180C22×C4C22×C22⋊C412yes—
1181C22×C4C22×C22⋊C412yes—
1182C22×C4C22×C22⋊C412yes—
1183C22×C4C22×C22⋊C412yes—
1184C22×C4C22×C22⋊C412yes—
1185C22×C4C22×C22⋊C412yes—
1186C22×C4C22×C22⋊C412yes—
1187C22×C4C2×C4×D418yes—
1188C22×C4C4×#4118yes—
1189C22×C4C2×#12014yes—
1190C22×C4C2×#12114yes—
1191C22×C4C2×#12114yes—
1192C22×C4C2×#12114yes—
1193C22×C4C2×#12114yes—
1194C22×C4C2×#12114yes—
1195C22×C4C2×#12314yes—
1196C22×C4#52514yes—
1197C22×C4#53218yes—
1198C22×C4C2×AGL(1,ℤ/8)12yes—
1199C22×C4C2×AGL(1,ℤ/8)12yes—
1200C22×C4C2×#13712yes—
1201C22×C4C2×#13712yes—
1202C22×C4#57514yes—
1203C22×C4C24×C411yescharacteristic
1204C22×C4C23×D412yes—
1205C22×C4C23×D411yescharacteristic
1206C22×C4C22×#4112yes—
1207C22×C4C22×#4114yes—
1208C22×C4#58514yes—
1209C2×C8—216no—
1210C2×C8—232no—
1211C2×C8—464no—
1212C2×C8—48no—
1213C2×C8—48no—
1214C2×C8—416no—
1215C4⋊C4—28no—
1216C4⋊C4—28no—
1217C4⋊C4—28no—
1218C4⋊C4—216no—
1219C4⋊C4—216no—
1220C4⋊C4—432no—
1221C4⋊C4—48no—
1222C4⋊C4—48no—
1223C4⋊C4—416no—
1224C4⋊C4—416no—
1225C4⋊C4—48no—
1226C4⋊C4—48no—
1227C4⋊C4—42no—
1228C4⋊C4—42no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—48no—
1232C4⋊C4—48no—
1233C4⋊C4—48no—
1234C22⋊C4—416no—
1235C22⋊C4—416no—
1236C22⋊C4—416no—
1237C22⋊C4—416no—
1238C22⋊C4—432no—
1239C22⋊C4—432no—
1240C22⋊C4—416no—
1241C22⋊C4—416no—
1242C22⋊C4—416no—
1243C22⋊C4—416no—
1244C22⋊C4—416no—
1245C22⋊C4—416no—
1246C22⋊C4—416no—
1247C42—24no—
1248C42—24no—
1249C42—22no—
1250C42—22no—
1251C42—22no—
1252C42—22no—
1253C42—28no—
1254C42—28no—
1255C42—28no—
1256C42—28no—
1257C42—28no—
1258C42—28no—
1259C42—28no—
1260C42—28no—
1261C42—28no—
1262C42—28no—
1263C42—416no—
1264C42—816no—
1265C42—816no—
1266C42#386116yes—
1267C42#386116yes—
1268C42C2×C4×D418yes—
1269C42C2×C4×D418yes—
1270C42C2×#12014yes—
1271C42C2×#12014yes—
1272C42C2×#12314yes—
1273C42C2×#12314yes—
1274C23—24no—
1275C23—24no—
1276C23—28no—
1277C23—24no—
1278C23—24no—
1279C23—28no—
1280C23—28no—
1281C23—24no—
1282C23—24no—
1283C23—24no—
1284C23—24no—
1285C23—24no—
1286C23—24no—
1287C23—28no—
1288C23—28no—
1289C23—28no—
1290C23—28no—
1291C23—22no—
1292C23—22no—
1293C23—22no—
1294C23—22no—
1295C23—22no—
1296C23—22no—
1297C23—22no—
1298C23—22no—
1299C23—28no—
1300C23—28no—
1301C23—24no—
1302C23—24no—
1303C23—232no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—232no—
1310C23—22no—
1311C23—416no—
1312C23—416no—
1313C23—416no—
1314C23—416no—
1315C23—464no—
1316C23—464no—
1317C23—416no—
1318C23—42no—
1319C23—42no—
1320C23—42no—
1321C23—42no—
1322C23—44no—
1323C23—44no—
1324C23—44no—
1325C23—44no—
1326C23—44no—
1327C23—44no—
1328C23—44no—
1329C23—44no—
1330C23—44no—
1331C23—88no—
1332C23—84no—
1333C23—84no—
1334C23—88no—
1335C23—84no—
1336C23—84no—
1337C23—84no—
1338C23—84no—
1339C23—88no—
1340C23—88no—
1341C23C2×#38614yes—
1342C23#229714yes—
1343C23C2×#41814yes—
1344C23C2×#41814yes—
1345C23C2×#41814yes—
1346C23C2×#41714yes—
1347C23#289614yes—
1348C23#3055116yes—
1349C23#310918yes—
1350C23#311218yes—
1351C23C23×C22⋊C411yescharacteristic
1352C23C22×#12112yes—
1353C23C2×#52512yes—
1354C23#344912yes—
1355C23C22×AGL(1,ℤ/8)12yes—
1356C23C22×AGL(1,ℤ/8)11yescharacteristic
1357C23C22×#13711yescharacteristic
1358C23C2×#57512yes—
1359C23C2×#57512yes—
1360Q8—816no—
1361D4—416no—
1362D4—816no—
1363D4—832no—
1364D4—832no—
1365D4—832no—
1366D4—84no—
1367D4—816no—
1368D4—84no—
1369C2×C4—24no—
1370C2×C4—28no—
1371C2×C4—28no—
1372C2×C4—24no—
1373C2×C4—24no—
1374C2×C4—24no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—28no—
1378C2×C4—28no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—232no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—216no—
1391C2×C4—216no—
1392C2×C4—28no—
1393C2×C4—28no—
1394C2×C4—232no—
1395C2×C4—232no—
1396C2×C4—28no—
1397C2×C4—28no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—416no—
1411C2×C4—416no—
1412C2×C4—416no—
1413C2×C4—416no—
1414C2×C4—416no—
1415C2×C4—416no—
1416C2×C4—416no—
1417C2×C4—416no—
1418C2×C4—416no—
1419C2×C4—416no—
1420C2×C4—42no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—42no—
1424C2×C4—44no—
1425C2×C4—416no—
1426C2×C4—48no—
1427C2×C4—44no—
1428C2×C4—416no—
1429C2×C4—44no—
1430C2×C4—416no—
1431C2×C4—416no—
1432C2×C4—44no—
1433C2×C4—44no—
1434C2×C4—44no—
1435C2×C4—416no—
1436C2×C4—44no—
1437C2×C4—44no—
1438C2×C4—44no—
1439C2×C4—44no—
1440C2×C4—44no—
1441C2×C4—44no—
1442C2×C4—832no—
1443C2×C4—864no—
1444C2×C4—88no—
1445C2×C4—88no—
1446C2×C4—88no—
1447C2×C4—88no—
1448C2×C4—88no—
1449C2×C4—88no—
1450C2×C4—84no—
1451C2×C4—84no—
1452C2×C4C2×#38614yes—
1453C2×C4C2×#38614yes—
1454C2×C4C2×#38614yes—
1455C2×C4C2×#38614yes—
1456C2×C4C2×#38614yes—
1457C2×C4#229714yes—
1458C2×C4C2×#41714yes—
1459C2×C4C2×#41714yes—
1460C2×C4#289614yes—
1461C2×C4#305518yes—
1462C2×C4#305618yes—
1463C2×C4C22×C4×D412yes—
1464C2×C4C2×C4×#4112yes—
1465C2×C4#342812yes—
1466C2×C4C22×#12011yescharacteristic
1467C2×C4C22×#12311yescharacteristic
1468C2×C4C2×#53212yes—
1469C2×C4#344912yes—
1470C2×C4D4×#4118yes—
1471C2×C4#347518yes—
1472C8—416no—
1473C22—24no—
1474C22—24no—
1475C22—24no—
1476C22—24no—
1477C22—24no—
1478C22—24no—
1479C22—216no—
1480C22—216no—
1481C22—216no—
1482C22—216no—
1483C22—24no—
1484C22—24no—
1485C22—24no—
1486C22—24no—
1487C22—24no—
1488C22—24no—
1489C22—24no—
1490C22—24no—
1491C22—24no—
1492C22—464no—
1493C22—42no—
1494C22—42no—
1495C22—48no—
1496C22—48no—
1497C22—42no—
1498C22—42no—
1499C22—84no—
1500C22—84no—
1501C22—84no—
1502C22—84no—
1503C22—84no—
1504C22—84no—
1505C22—84no—
1506C22—168no—
1507C22—168no—
1508C22#2097318yes—
1509C22#2139518yescomplemented
1510C22C22×#38611yescharacteristic
1511C22C2×#229711yescharacteristic
1512C22#3404411yescharacteristic
1513C22#3473714yes—
1514C22C22×#41811yescharacteristic
1515C22C22×#41711yescharacteristic
1516C22C2×#289611yescharacteristic
1517C22C2×#289611yescharacteristic
1518C22C2×#305512yes—
1519C22C2×#305514yes—
1520C22C2×#305612yes—
1521C22C2×#310912yes—
1522C22C2×#311212yes—
1523C22#6054614yes—
1524C22#6095814yes—
1525C22#6096212yes—
1526C22#6096312yes—
1527C4—24no—
1528C4—24no—
1529C4—24no—
1530C4—24no—
1531C4—24no—
1532C4—24no—
1533C4—42no—
1534C4—42no—
1535C4—42no—
1536C4—42no—
1537C4—84no—
1538C4—816no—
1539C4—84no—
1540C4—84no—
1541C4#2097118yes—
1542C4#3413614yes—
1543C4#3473812yes—
1544C4#3481012yes—
1545C2—28no—
1546C2—28no—
1547C2—44no—
1548C2—164no—
1549C2#51457711yescharacteristic
1550C2C2×#2097111yescharacteristic
1551C2C2×#2097311yescharacteristic
1552C2C2×#2139511yescharacteristic
1553C2#637239111yescharacteristic
1554C2#637466111yescharacteristic
1555C2#637466711yescharacteristic
1556C2#645430114yes—
1557C2#645430414yes—
subgroupG/H
center, socleC24C23×D4
commutatorC22×C4C24×C4
Frattini, cosocleC23×C4C25
prime radicalC2×#36624C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C24×C42 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C23×#432C2semidirect
3. C2×#21395C2semidirect
4. C2×C4×#380C2semidirect
5. #374614C2semidirect
6. #374536C2semidirect
7. #374403C2semidirect
8. #374311C2semidirect
9. #374221C2semidirect
10. #374064C2semidirect
11. #358170C2semidirect
12. #354203C2semidirect
13. #353811C2semidirect
27. #36624C4semidirect
48. C2×#1987C22semidirect
49. C2×#1982C22semidirect
52. C2×#1762C22semidirect
65. #11228C22semidirect
67. #11076C22semidirect
69. #10927C22semidirect
70. #10881C22semidirect
71. #10849C22semidirect
72. #10849C22semidirect
75. #10703C22semidirect
135. C2×#432D4semidirect
151. #2857C2×C4semidirect
152. #2857C2×C4semidirect
155. #2856C2×C4semidirect
156. #2856C2×C4semidirect
169. C4×#121C2×C4semidirect
170. C4×#121C2×C4semidirect
522. #380#41semidirect
1509. C22#21395semidirect

Maximal subgroups

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

subgroupindex
C23×#4322
C2×#366242
C2×#213952
C2×C4×#3802
#3746142
#3745362
#3744032
#3743112
#3742212
#3740642
#3581702
#3542032
#3538112