Finite Group Databasebeta

← C2×#21445758 #29679203

Subgroups — C2×#21445758 #29679203

Order 15616.

4070 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×#11758226C211yesmaximal, characteristic
2C22×#14519701C211yesmaximal, characteristic, complemented
3C22×#14519699C211yesmaximal, characteristic, complemented
4C22×#14519697C211yesmaximal, characteristic, complemented
5C22×#14519689C211yesmaximal, characteristic, complemented
6C2×#16839619C211yesmaximal, characteristic, complemented
7#21445758C218yesmaximal, direct product factor
8C22×#103×C61C211yesmaximal, characteristic, complemented
9C22×#11758226—24no—
10C22×#11758226—24no—
11C22×#11758226—24no—
12C22×#11758226—24no—
13C22×#11758226—24no—
14C22×#11758226—22no—
15C22×#11758226C418yescomplemented
16C22×#11758226C2214yes—
17C23×D244—21no—
18C23×D244C2211yescharacteristic
19C23×C4×D61—21no—
20C23×C4×D61C2211yescharacteristic
21C23×#92418C2211yescharacteristic
22C22×C4⋊Dic61C2211yescharacteristic
23C22×#11758198—21no—
24C2×#14519701—24no—
25C2×#14519701C2214yescomplemented
26C2×#14519699—24no—
27C2×#14519699C2214yescomplemented
28C2×#14519697—24no—
29C2×#14519697C2214yescomplemented
30C2×#14519689—24no—
31C2×#14519689C2214yescomplemented
32#16839619—22no—
33#16839619C2214yescomplemented
34C2×#14519684—21no—
35C23×Q8×C61C2211yescharacteristic
36C23×C8×C61C2211yescharacteristic
37C22×C4⋊C4×C61C2211yescharacteristic
38C2×#103×C61—24no—
39C2×#103×C61C2214yescomplemented
40C24×D61—21no—
41C24×D61D411yescharacteristic
42C2×#11758226—216no—
43C2×#11758226—216no—
44C2×#11758226—232no—
45C2×#11758226—232no—
46C2×#11758226—232no—
47C2×#11758226—28no—
48C2×#11758226—28no—
49C2×#11758226—232no—
50C2×#11758226—28no—
51C2×#11758226—28no—
52C2×#11758226—216no—
53C2×#11758226—28no—
54C2×#11758226C2×C4116yescomplemented
55C22×D244—28no—
56C22×D244—28no—
57C22×D244—28no—
58C22×D244—24no—
59C22×D244—22no—
60C22×D244—21no—
61C22×D244—22no—
62C22×D244—22no—
63C22×D244C2×C414yes—
64C22×D244D414yes—
65C22×D244D414yes—
66C22×D244C2312yes—
67C23×Dic61—21no—
68C23×Dic61D411yescharacteristic
69C22×C4×D61—28no—
70C22×C4×D61—28no—
71C22×C4×D61—22no—
72C22×C4×D61—22no—
73C22×C4×D61—22no—
74C22×C4×D61—22no—
75C22×C4×D61—28no—
76C22×C4×D61—24no—
77C22×C4×D61C2×C414yes—
78C22×C4×D61D412yes—
79C22×C4×D61D414yes—
80C22×C4×D61C2312yes—
81C22×#92418—22no—
82C22×#92418—22no—
83C22×#92418—22no—
84C22×#92418C2312yes—
85C2×C4⋊Dic61—22no—
86C2×C4⋊Dic61—22no—
87C2×C4⋊Dic61—21no—
88C2×C4⋊Dic61C2312yes—
89C2×#11758198—24no—
90C2×#11758198—44no—
91#14519701—28no—
92#14519699—28no—
93#14519697—28no—
94#14519689—28no—
95#14519684—24no—
96C22×Q8×C61—22no—
97C22×Q8×C61—22no—
98C22×Q8×C61—22no—
99C22×Q8×C61—21no—
100C22×Q8×C61C2×C414yes—
101C22×Q8×C61D414yes—
102C22×Q8×C61D414yes—
103C22×Q8×C61C2312yes—
104C23×C4×C61—21no—
105C23×C4×C61—21no—
106C23×C4×C61C2311yescharacteristic
107C22×C8×C61—22no—
108C22×C8×C61—22no—
109C22×C8×C61—22no—
110C22×C8×C61C2312yes—
111C2×C4⋊C4×C61—22no—
112C2×C4⋊C4×C61—22no—
113C2×C4⋊C4×C61—21no—
114C2×C4⋊C4×C61C2312yes—
115#103×C61—28no—
116C24×C61C2×D411yescharacteristic
117C23×D61—24no—
118C23×D61—22no—
119C23×D61—22no—
120C23×D61—24no—
121C23×D61—24no—
122C23×D61—22no—
123C23×D61—22no—
124C23×D61—22no—
125C23×D61—22no—
126C23×D61—22no—
127C23×D61—42no—
128C23×D61—42no—
129C23×D61—42no—
130C23×D61—42no—
131C23×D61C22⋊C414yes—
132C23×D61C2×D412yes—
133C2×Q8×C61—24no—
134C2×Q8×C61—28no—
135C2×Q8×C61—24no—
136C2×Q8×C61—24no—
137C2×Q8×C61—28no—
138C2×Q8×C61—28no—
139C2×Q8×C61—22no—
140C2×Q8×C61—22no—
141C2×Q8×C61—22no—
142C2×Q8×C61C22⋊C4116yescomplemented
143C2×Q8×C61C22×C414yes—
144C2×Q8×C61C2×D414yes—
145C2×Q8×C61C2×D414yes—
146C22×C4×C61—24no—
147C22×C4×C61—24no—
148C22×C4×C61—24no—
149C22×C4×C61—22no—
150C22×C4×C61—22no—
151C22×C4×C61—42no—
152C22×C4×C61—42no—
153C22×C4×C61—42no—
154C22×C4×C61C22×C412yes—
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2×D412yes—
157C22×C4×C61C2×D412yes—
158C22×C4×C61C2×D412yes—
159C22×C4×C61C2×D412yes—
160C22×C4×C61C2×D412yes—
161C22×C4×C61C2411yescharacteristic
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61—22no—
165C22×Dic61—42no—
166C22×Dic61—42no—
167C22×Dic61—42no—
168C22×Dic61C22⋊C414yes—
169C22×Dic61C2×D412yes—
170#11758226—232no—
171#11758226—232no—
172#11758226—2128no—
173#11758226—232no—
174#11758226—232no—
175C2×D244—216no—
176C2×D244—216no—
177C2×D244—264no—
178C2×D244—216no—
179C2×D244—28no—
180C2×D244—24no—
181C2×D244—28no—
182C2×D244—28no—
183C2×D244—24no—
184C2×D244—24no—
185C2×D244—22no—
186C2×D244—22no—
187C2×D244—22no—
188C2×D244C22⋊C4116yescomplemented
189C2×D244C22×C414yes—
190C2×D244C2×D414yes—
191C2×D244C2×D414yes—
192C2×C4×D61—216no—
193C2×C4×D61—216no—
194C2×C4×D61—264no—
195C2×C4×D61—28no—
196C2×C4×D61—28no—
197C2×C4×D61—28no—
198C2×C4×D61—28no—
199C2×C4×D61—24no—
200C2×C4×D61—24no—
201C2×C4×D61—22no—
202C2×C4×D61—22no—
203C2×C4×D61—22no—
204C2×C4×D61—22no—
205C2×C4×D61—216no—
206C2×C4×D61C22⋊C418yes—
207C2×C4×D61C22×C414yes—
208C2×C4×D61C2×D414yes—
209C2×C8×C61—22no—
210C2×C8×C61—22no—
211C2×C8×C61—22no—
212C2×C8×C61—44no—
213C4⋊C4×C61—22no—
214C4⋊C4×C61—22no—
215C4⋊C4×C61—42no—
216#11758198—48no—
217C4⋊Dic61—22no—
218C4⋊Dic61—22no—
219C4⋊Dic61—42no—
220C2×#92418—22no—
221C2×#92418—22no—
222C2×#92418—22no—
223C2×#92418—44no—
224C23×C61C2×C22⋊C412yes—
225C23×C61#12012yes—
226C23×C61#12012yes—
227C23×C61#13512yes—
228C23×C61#13512yes—
229C23×C61AGL(1,ℤ/8)12yes—
230C23×C61#13712yes—
231C23×C61C22×D411yescharacteristic
232C22×D61—24no—
233C22×D61—22no—
234C22×D61—22no—
235C22×D61—24no—
236C22×D61—24no—
237C22×D61—22no—
238C22×D61—22no—
239C22×D61—22no—
240C22×D61—22no—
241C22×D61—28no—
242C22×D61—216no—
243C22×D61—28no—
244C22×D61—28no—
245C22×D61—42no—
246C22×D61—42no—
247C22×D61—42no—
248C22×D61—42no—
249C22×D61—48no—
250C22×D61—48no—
251C22×D61—44no—
252C22×D61—44no—
253C22×D61—48no—
254C22×D61—48no—
255C22×D61—44no—
256C22×D61—44no—
257C22×D61—48no—
258C22×D61—48no—
259C22×D61C2×C22⋊C414yes—
260Q8×C61—24no—
261Q8×C61—24no—
262Q8×C61—24no—
263Q8×C61—216no—
264Q8×C61C2×C22⋊C418yescomplemented
265C2×C4×C61—24no—
266C2×C4×C61—24no—
267C2×C4×C61—24no—
268C2×C4×C61—216no—
269C2×C4×C61—42no—
270C2×C4×C61—42no—
271C2×C4×C61—42no—
272C2×C4×C61—84no—
273C2×C4×C61C2×C22⋊C414yes—
274C2×C4×C61C2×C22⋊C414yes—
275C2×C4×C61C2×C22⋊C412yes—
276C2×C4×C61#12014yes—
277C2×C4×C61#12014yes—
278C2×C4×C61#12012yes—
279C2×C4×C61#12012yes—
280C2×C4×C61C23×C411yescharacteristic
281C2×C4×C61C22×D411yescharacteristic
282C2×C4×C61C22×D411yescharacteristic
283C2×C4×C61C22×D411yescharacteristic
284C2×C4×C61C22×D411yescharacteristic
285C2×C4×C61C22×D411yescharacteristic
286C2×Dic61—22no—
287C2×Dic61—22no—
288C2×Dic61—28no—
289C2×Dic61—42no—
290C2×Dic61—42no—
291C2×Dic61—42no—
292C2×Dic61—84no—
293C2×Dic61C2×C22⋊C414yes—
294D244—264no—
295D244—24no—
296D244—24no—
297D244—24no—
298D244—216no—
299D244C2×C22⋊C418yescomplemented
300C4×D61—264no—
301C4×D61—24no—
302C4×D61—24no—
303C4×D61—24no—
304C4×D61—24no—
305C4×D61—216no—
306C8×C61—42no—
307#92418—42no—
308C2×#1788—611nomaximal, Sylow
309C22×C61#37914yes—
310C22×C61#41614yes—
311C22×C61#41714yes—
312C22×C61#44914yes—
313C22×C61#44914yes—
314C22×C61#45214yes—
315C22×C61#45214yes—
316C22×C61C22×C22⋊C411yescharacteristic
317C22×C61C2×#12011yescharacteristic
318C22×C61C2×#12011yescharacteristic
319C22×C61C2×#13511yescharacteristic
320C22×C61C2×#13511yescharacteristic
321C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
322C22×C61C2×#13711yescharacteristic
323C2×D61—24no—
324C2×D61—24no—
325C2×D61—24no—
326C2×D61—28no—
327C2×D61—44no—
328C2×D61—44no—
329C2×D61—42no—
330C2×D61—42no—
331C2×D61—44no—
332C2×D61—44no—
333C2×D61—42no—
334C2×D61—42no—
335C2×D61—44no—
336C2×D61—44no—
337C2×D61—416no—
338C2×D61—432no—
339C4×C61—28no—
340C4×C61—82no—
341C4×C61#37914yes—
342C4×C61C22×C22⋊C411yescharacteristic
343C4×C61C22×C22⋊C411yescharacteristic
344C4×C61C2×#12011yescharacteristic
345C4×C61C2×#12011yescharacteristic
346Dic61—24no—
347Dic61—82no—
348C23×#41—611no—
349C22×#103—611no—
350C22×#103D6111yescharacteristic, complemented
351C22×#102—611no—
352C22×#102—611no—
353C22×C22⋊C8—611no—
354C2×#380—611no—
355#1788—618no—
356C2×C61#178818yescomplemented
357C2×C61C2×#37911yescharacteristic
358C2×C61C2×#41611yescharacteristic
359C2×C61C2×#41711yescharacteristic
360C2×C61C2×#44911yescharacteristic
361C2×C61C2×#44911yescharacteristic
362C2×C61C2×#45211yescharacteristic
363C2×C61C2×#45211yescharacteristic
364D61—44no—
365D61—48no—
366C22×#41—618no—
367C22×#41—614no—
368C22×#41—1222no—
369C22×#41—1224no—
370C22×#41—1224no—
371C22×#41—1224no—
372C22×#41—1224no—
373C22×#41—1224no—
374C23×Q8C2×D6111yescharacteristic
375C23×D4—611no—
376C23×D4—1221no—
377C24×C4—611no—
378C24×C4—1221no—
379C23×C8—611no—
380C23×C8C2×D6111yescharacteristic
381C22×C4⋊C4—611no—
382C22×C4⋊C4C2×D6111yescharacteristic
383C22×C22⋊C4—1221no—
384C2×#103—24no—
385C2×#103—614no—
386C2×#103—1224no—
387C2×#103C2×D6114yescomplemented
388C2×#102—614no—
389C2×#102—614no—
390C2×#102—1224no—
391C2×#102—1224no—
392C2×C22⋊C8—614no—
393C2×C22⋊C8—1224no—
394#380—614no—
395#380—1222no—
396C2×#95—1221no—
397C61C2×#178811yescharacteristic, complemented, Sylow
398C25—611no—
399C25—1221no—
400C2×#41—6116no—
401C2×#41—1228no—
402C2×#41—12216no—
403C2×#41—1228no—
404C2×#41—1228no—
405C2×#41—12232no—
406C2×#41—12216no—
407C2×#41—12232no—
408C2×#41—12216no—
409C2×#41—12232no—
410C2×#41—12232no—
411C2×#41—1228no—
412C2×#41—1228no—
413C22×Q8—21no—
414C22×Q8—22no—
415C22×Q8—22no—
416C22×Q8—22no—
417C22×Q8C4×D6114yes—
418C22×Q8D24414yes—
419C22×Q8C22⋊D6114yes—
420C22×Q8C22×D6112yes—
421C22×D4—614no—
422C22×D4—614no—
423C22×D4—614no—
424C22×D4—612no—
425C22×D4—1224no—
426C22×D4—1228no—
427C22×D4—1228no—
428C22×D4—1228no—
429C22×D4—1222no—
430C22×D4—1222no—
431C22×D4—1221no—
432C22×D4—1222no—
433C23×C4—21no—
434C23×C4—21no—
435C23×C4—611no—
436C23×C4—614no—
437C23×C4—612no—
438C23×C4—614no—
439C23×C4—612no—
440C23×C4—1224no—
441C23×C4—1228no—
442C23×C4—1228no—
443C23×C4—1228no—
444C23×C4—1222no—
445C23×C4—1222no—
446C23×C4—1222no—
447C23×C4—1222no—
448C23×C4—1221no—
449C23×C4C22×D6111yescharacteristic
450C22×C8—22no—
451C22×C8—22no—
452C22×C8—22no—
453C22×C8—612no—
454C22×C8—1222no—
455C22×C8—1222no—
456C22×C8—1222no—
457C22×C8C22×D6112yes—
458C2×C4⋊C4—22no—
459C2×C4⋊C4—22no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—612no—
462C2×C4⋊C4—1222no—
463C2×C4⋊C4—1222no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4C22×D6112yes—
466C2×C22⋊C4—1224no—
467C2×C22⋊C4—2444no—
468#103—28no—
469#103—1228no—
470#102—1228no—
471#102—1228no—
472C22⋊C8—1228no—
473#95—1224no—
474C24—612no—
475C24—614no—
476C24—1222no—
477C24—1222no—
478C24—1224no—
479C24—1224no—
480C24—1222no—
481C24—1224no—
482C24—1222no—
483C24—1222no—
484C24—1222no—
485C24—1222no—
486C24—2442no—
487C24—2442no—
488C24—2442no—
489C24—2442no—
490C24D4×D6111yescharacteristic
491#41—12232no—
492#41—12232no—
493#41—12232no—
494#41—122128no—
495#41—12232no—
496C2×Q8—22no—
497C2×Q8—22no—
498C2×Q8—22no—
499C2×Q8—24no—
500C2×Q8—28no—
501C2×Q8—24no—
502C2×Q8—28no—
503C2×Q8—24no—
504C2×Q8—28no—
505C2×Q8#11758198116yescomplemented
506C2×Q8C2×C4×D6114yes—
507C2×Q8C2×D24414yes—
508C2×Q8C2×C22⋊D6114yes—
509C2×D4—614no—
510C2×D4—614no—
511C2×D4—614no—
512C2×D4—6116no—
513C2×D4—12216no—
514C2×D4—12216no—
515C2×D4—12216no—
516C2×D4—12264no—
517C2×D4—1222no—
518C2×D4—1222no—
519C2×D4—1222no—
520C2×D4—1224no—
521C2×D4—1228no—
522C2×D4—1228no—
523C2×D4—1224no—
524C2×D4—1228no—
525C2×D4—1224no—
526C22×C4—22no—
527C22×C4—24no—
528C22×C4—24no—
529C22×C4—24no—
530C22×C4—22no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—612no—
535C22×C4—614no—
536C22×C4—614no—
537C22×C4—614no—
538C22×C4—618no—
539C22×C4—12216no—
540C22×C4—12216no—
541C22×C4—12216no—
542C22×C4—12264no—
543C22×C4—1222no—
544C22×C4—1222no—
545C22×C4—1222no—
546C22×C4—1222no—
547C22×C4—1222no—
548C22×C4—1222no—
549C22×C4—1228no—
550C22×C4—1228no—
551C22×C4—1224no—
552C22×C4—1228no—
553C22×C4—1224no—
554C22×C4—1228no—
555C22×C4—1222no—
556C22×C4—2442no—
557C22×C4—2442no—
558C22×C4—2442no—
559C22×C4C2×C4×D6112yes—
560C22×C4C2×D24412yes—
561C22×C4D4×D6112yes—
562C22×C4D4×D6112yes—
563C22×C4D4×D6112yes—
564C22×C4D4×D6111yescharacteristic
565C22×C4C2×C22⋊D6112yes—
566C22×C4C23×D6111yescharacteristic
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—44no—
571C2×C8—1222no—
572C2×C8—1222no—
573C2×C8—1222no—
574C2×C8—2444no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—42no—
578C4⋊C4—1222no—
579C4⋊C4—1222no—
580C4⋊C4—2442no—
581C22⋊C4—2448no—
582C23—614no—
583C23—1224no—
584C23—1224no—
585C23—1222no—
586C23—1224no—
587C23—1222no—
588C23—1228no—
589C23—1228no—
590C23—1222no—
591C23—1222no—
592C23—1222no—
593C23—1222no—
594C23—12216no—
595C23—1228no—
596C23—2448no—
597C23—2448no—
598C23—2442no—
599C23—2442no—
600C23—2442no—
601C23—2442no—
602C23—2444no—
603C23—2448no—
604C23—2444no—
605C23—2448no—
606C23—2444no—
607C23—2448no—
608C23—2444no—
609C23—2448no—
610C23C22⋊C4×D6112yes—
611C23#1451974512yes—
612C23#1451974712yes—
613C23#1451979812yes—
614C23#1451980012yes—
615C23#1451980412yes—
616C23#1451980912yes—
617C23C2×D4×D6111yescharacteristic
618Q8—24no—
619Q8—24no—
620Q8—24no—
621Q8—216no—
622Q8C2×#1175819818yescomplemented
623D4—618no—
624D4—12264no—
625D4—1224no—
626D4—1224no—
627D4—1224no—
628D4—12216no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—216no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—84no—
637C2×C4—614no—
638C2×C4—12264no—
639C2×C4—1222no—
640C2×C4—1222no—
641C2×C4—1228no—
642C2×C4—1224no—
643C2×C4—1224no—
644C2×C4—1224no—
645C2×C4—1224no—
646C2×C4—12216no—
647C2×C4—4884no—
648C2×C4—2442no—
649C2×C4—2442no—
650C2×C4—2442no—
651C2×C4C22⋊C4×D6114yes—
652C2×C4C22⋊C4×D6112yes—
653C2×C4C2×#1175819814yes—
654C2×C4#1451974514yes—
655C2×C4#1451974512yes—
656C2×C4#1451974714yes—
657C2×C4#1451974712yes—
658C2×C4C22×C4×D6111yescharacteristic
659C2×C4C2×D4×D6111yescharacteristic
660C2×C4C2×D4×D6111yescharacteristic
661C2×C4C2×D4×D6111yescharacteristic
662C2×C4C22×C22⋊D6111yescharacteristic
663C2×C4C22×D24411yescharacteristic
664C8—42no—
665C8—2442no—
666C22—1224no—
667C22—1228no—
668C22—1224no—
669C22—1224no—
670C22—24416no—
671C22—24432no—
672C22—2442no—
673C22—2444no—
674C22—2442no—
675C22—2444no—
676C22—2442no—
677C22—2444no—
678C22—2442no—
679C22—2444no—
680C22—2444no—
681C22—2444no—
682C22#1683961714yes—
683C22#1683975714yes—
684C22#1683976214yes—
685C22#1683990614yes—
686C22#1683991014yes—
687C22#1683992314yes—
688C22#1683992714yes—
689C22C2×C22⋊C4×D6111yescharacteristic
690C22C2×#1451974511yescharacteristic
691C22C2×#1451974711yescharacteristic
692C22C2×#1451979811yescharacteristic
693C22C2×#1451980011yescharacteristic
694C22C2×#1451980411yescharacteristic
695C22C2×#1451980911yescharacteristic
696C4—28no—
697C4—82no—
698C4—1224no—
699C4—4882no—
700C4#1683961714yes—
701C4C2×C22⋊C4×D6111yescharacteristic
702C4C22×#1175819811yescharacteristic
703C4C2×#1451974511yescharacteristic
704C4C2×#1451974711yescharacteristic
705C2—2444no—
706C2—2448no—
707C2#2144575818yesdirect product factor
708C2C2×#1683961711yescharacteristic
709C2C2×#1683975711yescharacteristic
710C2C2×#1683976211yescharacteristic
711C2C2×#1683990611yescharacteristic
712C2C2×#1683991011yescharacteristic
713C2C2×#1683992311yescharacteristic
714C2C2×#1683992711yescharacteristic
subgroupG/H
centerC24D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC22×#103×C61C2
socleC24×C61C2×D4
prime radicalC23×#11758226C2
cosocleC22×C4×C61C24
hypercenterC22×#103D61
hypocenterC61C2×#1788
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C24 ◁ C23×C4 ◁ C22×#103

Complements

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

NH ≅ G/Ntype
2. C22×#14519701C2semidirect
3. C22×#14519699C2semidirect
4. C22×#14519697C2semidirect
5. C22×#14519689C2semidirect
6. C2×#16839619C2semidirect
7. #21445758C2direct (N × H)
8. C22×#103×C61C2semidirect
15. C22×#11758226C4semidirect
25. C2×#14519701C22semidirect
27. C2×#14519699C22semidirect
29. C2×#14519697C22semidirect
31. C2×#14519689C22semidirect
33. #16839619C22semidirect
39. C2×#103×C61C22semidirect
54. C2×#11758226C2×C4semidirect
142. C2×Q8×C61C22⋊C4semidirect
188. C2×D244C22⋊C4semidirect
264. Q8×C61C2×C22⋊C4semidirect
299. D244C2×C22⋊C4semidirect
350. C22×#103D61semidirect
356. C2×C61#1788semidirect
387. C2×#103C2×D61semidirect
397. C61C2×#1788semidirect
505. C2×Q8#11758198semidirect
622. Q8C2×#11758198semidirect
707. C2#21445758direct (N × H)

Maximal subgroups

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

subgroupindex
C23×#117582262
C22×#145197012
C22×#145196992
C22×#145196972
C22×#145196892
C2×#168396192
#214457582
C22×#103×C612
C2×#178861