Finite Group Databasebeta

← C2×#21446195 #29681511

Subgroups — C2×#21446195 #29681511

Order 15616.

2018 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519802C211yesmaximal, characteristic
2C22×#14519704C211yesmaximal, characteristic, complemented
3C2×#16839766C211yesmaximal, characteristic, complemented
4C2×#16839663C211yesmaximal, characteristic, complemented
5#21446195C218yesmaximal, direct product factor
6C2×#16839531C211yesmaximal, characteristic, complemented
7C2×#16839521C211yesmaximal, characteristic, complemented
8C2×C61×#520C211yesmaximal, characteristic, complemented
9C23×D244C2211yescharacteristic
10C2×#14519802—24no—
11C2×#14519802—22no—
12C2×#14519802C418yescomplemented
13C2×#14519802C2214yes—
14C22×#11758201—21no—
15C22×#11758199—21no—
16C22×#11758194C2211yescharacteristic
17C22×#11758194C2211yescharacteristic
18C22×#11758198—22no—
19C22×C4×Dic61C2211yescharacteristic
20C2×#14519704—24no—
21C2×#14519704C2214yescomplemented
22#16839766—22no—
23#16839766C2214yescomplemented
24C2×#14519697—21no—
25C2×#14519697—21no—
26#16839663—22no—
27#16839663C2214yescomplemented
28#16839531C2214yescomplemented
29#16839521C2214yescomplemented
30C22×#41×C61C2211yescharacteristic
31C61×#520—22no—
32C61×#520—22no—
33C61×#520—22no—
34C61×#520C2214yescomplemented
35C2×C4×Q8×C61—21no—
36C2×C4×D4×C61—21no—
37C2×C4×D4×C61—22no—
38C2×#117×C61—21no—
39C2×#117×C61C2211yescharacteristic
40C22×C4⋊C4×C61—21no—
41C22×C4⋊C4×C61C2211yescharacteristic
42C24×D61—21no—
43C22×D244—21no—
44C22×D244—21no—
45C22×D244—21no—
46C22×D244—22no—
47C22×D244—21no—
48C22×D244—22no—
49C22×D244—21no—
50C22×D244—22no—
51C22×D244C2×C414yescomplemented
52C22×D244C2312yes—
53C23×Dic61—21no—
54#14519802—216no—
55#14519802—28no—
56#14519802C2×C4116yescomplemented
57C2×#11758201—28no—
58C2×#11758201—24no—
59C2×#11758199—28no—
60C2×#11758199—24no—
61C2×#11758194—22no—
62C2×#11758194—21no—
63C2×#11758194—21no—
64C2×#11758194—22no—
65C2×#11758194—22no—
66C2×#11758194C2×C414yescomplemented
67C2×#11758194C2312yes—
68C2×#11758194C2312yes—
69C22×#92418—21no—
70C22×#92418—21no—
71C2×#11758198—28no—
72C2×#11758198—48no—
73C2×C4×Dic61—22no—
74C2×C4×Dic61—22no—
75C2×C4×Dic61—21no—
76C2×C4×Dic61C2312yes—
77#14519704—28no—
78#14519697—24no—
79#14519697—24no—
80C2×#41×C61—21no—
81C2×#41×C61—21no—
82C2×#41×C61—22no—
83C2×#41×C61—22no—
84C2×#41×C61C2×C414yes—
85C2×#41×C61D414yes—
86C2×#41×C61D412yes—
87C2×#41×C61C2312yes—
88C22×Q8×C61D411yescharacteristic
89C22×D4×C61—21no—
90C22×D4×C61D411yescharacteristic
91C23×C4×C61—21no—
92C23×C4×C61—22no—
93C23×C4×C61D412yes—
94C23×C4×C61C2311yescharacteristic
95C4×Q8×C61—24no—
96C4×Q8×C61—24no—
97C4×D4×C61—28no—
98C4×D4×C61—24no—
99C4×D4×C61—24no—
100C4×D4×C61—28no—
101#117×C61—24no—
102#117×C61—21no—
103#117×C61—21no—
104#117×C61—24no—
105#117×C61D412yes—
106#117×C61C2312yes—
107C2×C4⋊C4×C61—22no—
108C2×C4⋊C4×C61—24no—
109C2×C4⋊C4×C61—21no—
110C2×C4⋊C4×C61—21no—
111C2×C4⋊C4×C61—21no—
112C2×C4⋊C4×C61—21no—
113C2×C4⋊C4×C61—24no—
114C2×C4⋊C4×C61D412yes—
115C2×C4⋊C4×C61D411yescharacteristic
116C2×C4⋊C4×C61D411yescharacteristic
117C2×C4⋊C4×C61C2312yes—
118C2×C22⋊C4×C61—22no—
119C2×C22⋊C4×C61—21no—
120C2×C42×C61—22no—
121C2×C42×C61—21no—
122C24×C61—21no—
123C24×C61C2×D411yescharacteristic
124C23×D61—24no—
125C23×D61—22no—
126C23×D61—44no—
127C23×D61—44no—
128C23×D61—41no—
129C23×D61—41no—
130C23×D61—42no—
131#41×C61—24no—
132#41×C61—24no—
133#41×C61—24no—
134#41×C61—24no—
135#41×C61—24no—
136#41×C61—22no—
137#41×C61—22no—
138#41×C61C22⋊C418yescomplemented
139#41×C61C22×C414yes—
140#41×C61C2×D414yes—
141C2×Q8×C61—21no—
142C2×Q8×C61—22no—
143C2×Q8×C61C22⋊C414yescomplemented
144C2×Q8×C61C2×D412yes—
145C2×D4×C61—24no—
146C2×D4×C61—22no—
147C2×D4×C61—24no—
148C2×D4×C61—22no—
149C2×D4×C61—21no—
150C2×D4×C61—22no—
151C2×D4×C61C22⋊C414yescomplemented
152C2×D4×C61C2×D412yes—
153C22×C4×C61—21no—
154C22×C4×C61—24no—
155C22×C4×C61—22no—
156C22×C4×C61—24no—
157C22×C4×C61—22no—
158C22×C4×C61—21no—
159C22×C4×C61—22no—
160C22×C4×C61—21no—
161C22×C4×C61—28no—
162C22×C4×C61—22no—
163C22×C4×C61—44no—
164C22×C4×C61—84no—
165C22×C4×C61C22×C412yes—
166C22×C4×C61C2×D414yes—
167C22×C4×C61C2×D411yescharacteristic
168C22×C4×C61C2×D411yescharacteristic
169C22×C4×C61C2×D412yes—
170C22×C4×C61C2×D411yescharacteristic
171C22×C4×C61C2×D411yescharacteristic
172C22×C4×C61C2×D411yescharacteristic
173C22×C4×C61#4112yes—
174C22×C4×C61#4112yes—
175C22×C4×C61C2411yescharacteristic
176C22×Dic61—24no—
177C22×Dic61—22no—
178C22×Dic61—42no—
179C22×Dic61—42no—
180C2×D244—24no—
181C2×D244—24no—
182C2×D244—24no—
183C2×D244—24no—
184C2×D244—22no—
185C2×D244—22no—
186C2×D244—22no—
187C2×D244—22no—
188C2×D244—24no—
189C2×D244—22no—
190C2×D244—41no—
191C2×D244—41no—
192C2×D244—42no—
193C2×D244—42no—
194C2×D244—42no—
195C2×D244—42no—
196C2×D244—42no—
197C2×D244C22×C414yescomplemented
198C4⋊C4×C61—28no—
199C4⋊C4×C61—22no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—22no—
202C4⋊C4×C61—21no—
203C4⋊C4×C61—22no—
204C4⋊C4×C61—22no—
205C4⋊C4×C61C2×D412yes—
206C4⋊C4×C61C2×D412yes—
207C22⋊C4×C61—28no—
208C22⋊C4×C61—22no—
209C22⋊C4×C61—22no—
210C42×C61—28no—
211C42×C61—22no—
212C42×C61—22no—
213#11758201—216no—
214#11758199—216no—
215#11758198—416no—
216C4×Dic61—22no—
217C4×Dic61—22no—
218C4×Dic61—42no—
219#11758194—24no—
220#11758194—22no—
221#11758194—22no—
222#11758194—22no—
223#11758194—42no—
224#11758194C22×C414yescomplemented
225C2×#92418—24no—
226C2×#92418—22no—
227C2×#92418—22no—
228C2×#92418—42no—
229C23×C61—22no—
230C23×C61—22no—
231C23×C61—22no—
232C23×C61—24no—
233C23×C61—42no—
234C23×C61—42no—
235C23×C61C4×D412yes—
236C23×C61#12011yescharacteristic
237C23×C61#12011yescharacteristic
238C23×C61#12112yes—
239C23×C61C22×D411yescharacteristic
240C22×D61—24no—
241C22×D61—44no—
242C22×D61—416no—
243C22×D61—44no—
244C22×D61—42no—
245C22×D61—42no—
246C22×D61—44no—
247C22×D61—44no—
248C22×D61—88no—
249C22×D61—82no—
250C22×D61—82no—
251C22×D61—82no—
252C22×D61—82no—
253Q8×C61—22no—
254Q8×C61—24no—
255Q8×C61C2×C22⋊C414yescomplemented
256D4×C61—24no—
257D4×C61—24no—
258D4×C61—28no—
259D4×C61—22no—
260D4×C61—24no—
261D4×C61C2×C22⋊C414yescomplemented
262C2×C4×C61—22no—
263C2×C4×C61—24no—
264C2×C4×C61—24no—
265C2×C4×C61—24no—
266C2×C4×C61—28no—
267C2×C4×C61—22no—
268C2×C4×C61—24no—
269C2×C4×C61—22no—
270C2×C4×C61—44no—
271C2×C4×C61—42no—
272C2×C4×C61—42no—
273C2×C4×C61—44no—
274C2×C4×C61—82no—
275C2×C4×C61—88no—
276C2×C4×C61C2×C22⋊C412yes—
277C2×C4×C61C2×C22⋊C412yes—
278C2×C4×C61C4×D412yes—
279C2×C4×C61C4×D412yes—
280C2×C4×C61C4×D412yes—
281C2×C4×C61#12011yescharacteristic
282C2×C4×C61#12011yescharacteristic
283C2×C4×C61#12112yes—
284C2×C4×C61#12112yes—
285C2×C4×C61#12112yes—
286C2×C4×C61#12312yes—
287C2×C4×C61#12312yes—
288C2×C4×C61C23×C411yescharacteristic
289C2×C4×C61C22×D411yescharacteristic
290C2×C4×C61C22×D411yescharacteristic
291C2×C4×C61C22×D411yescharacteristic
292C2×C4×C61C2×#4111yescharacteristic
293C2×C4×C61C2×#4111yescharacteristic
294C2×Dic61—24no—
295C2×Dic61—48no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298D244—24no—
299D244—24no—
300D244—42no—
301D244—42no—
302D244—44no—
303D244—44no—
304#92418—24no—
305#92418—42no—
306C2×#1883—611nomaximal, Sylow
307C22×C61—24no—
308C22×C61—24no—
309C22×C61—21no—
310C22×C61—21no—
311C22×C61—21no—
312C22×C61—21no—
313C22×C61—24no—
314C22×C61—48no—
315C22×C61—42no—
316C22×C61—42no—
317C22×C61#38612yes—
318C22×C61#38612yes—
319C22×C61#45312yes—
320C22×C61#45412yes—
321C22×C61C2×C4×D411yescharacteristic
322C22×C61C2×#12011yescharacteristic
323C22×C61C2×#12111yescharacteristic
324C2×D61—48no—
325C2×D61—44no—
326C2×D61—84no—
327C2×D61—88no—
328C2×D61—88no—
329C2×D61—82no—
330C2×D61—82no—
331C4×C61—24no—
332C4×C61—44no—
333C4×C61—42no—
334C4×C61—42no—
335C4×C61#38612yes—
336C4×C61#38612yes—
337C4×C61C22×C22⋊C411yescharacteristic
338C4×C61C2×C4×D411yescharacteristic
339C4×C61C2×#12111yescharacteristic
340C4×C61C2×#12311yescharacteristic
341Dic61—44no—
342C22×AGL(1,ℤ/8)—611no—
343C2×#520D6111yescharacteristic, complemented
344C22×#104—611no—
345C2×#418—611no—
346C2×#390—611no—
347#1883—618no—
348C2×#343—611no—
349C2×#339—611no—
350C2×C61—21no—
351C2×C61—21no—
352C2×C61—22no—
353C2×C61—44no—
354C2×C61#188314yescomplemented
355C2×C61C2×#38611yescharacteristic
356C2×C61C2×#45311yescharacteristic
357C2×C61C2×#45411yescharacteristic
358D61—84no—
359C22×#41C2×D6111yescharacteristic
360C23×D4—611no—
361C2×AGL(1,ℤ/8)—618no—
362C2×AGL(1,ℤ/8)—614no—
363C2×AGL(1,ℤ/8)—1224no—
364C2×AGL(1,ℤ/8)—1222no—
365C22×SD16—1221no—
366C22×D8—1221no—
367C22×M16—611no—
368C22×M16—611no—
369#520—22no—
370#520—22no—
371#520—22no—
372#520C2×D6114yescomplemented
373C2×C4×Q8—21no—
374C2×C4×D4—21no—
375C2×C4×D4—22no—
376C2×#117—21no—
377C2×#117C2×D6111yescharacteristic
378C22×C4⋊C4—21no—
379C22×C4⋊C4C2×D6111yescharacteristic
380C22×C22⋊C4—1222no—
381C22×C42—611no—
382C2×#104—614no—
383C2×#104—1224no—
384#418—614no—
385#418—1222no—
386C2×#102—1221no—
387C2×#102—1221no—
388#390—614no—
389#390—1222no—
390#343—614no—
391#339—614no—
392C61C2×#188311yescharacteristic, complemented, Sylow
393C25—1221no—
394C2×#41—22no—
395C2×#41—22no—
396C2×#41—21no—
397C2×#41—21no—
398C2×#41C4×D6114yes—
399C2×#41D24414yes—
400C2×#41C22⋊D6112yes—
401C2×#41C22×D6112yes—
402C22×Q8C22⋊D6111yescharacteristic
403C22×D4—21no—
404C22×D4—614no—
405C22×D4—612no—
406C22×D4—1222no—
407C22×D4—1222no—
408C22×D4—1222no—
409C22×D4—1221no—
410C22×D4—1221no—
411C22×D4—1221no—
412C22×D4—1221no—
413C22×D4—1221no—
414C22×D4C22⋊D6111yescharacteristic
415C23×C4—21no—
416C23×C4—22no—
417C23×C4—1221no—
418C23×C4C22⋊D6112yes—
419C23×C4C22×D6111yescharacteristic
420AGL(1,ℤ/8)—6116no—
421AGL(1,ℤ/8)—12216no—
422AGL(1,ℤ/8)—1228no—
423C2×SD16—1228no—
424C2×SD16—1224no—
425C2×D8—1228no—
426C2×D8—1224no—
427C2×M16—614no—
428C2×M16—612no—
429C2×M16—612no—
430C2×M16—1222no—
431C2×M16—1221no—
432C2×M16—1221no—
433C2×M16—1222no—
434C2×M16—1222no—
435C22×C8—1221no—
436C22×C8—1221no—
437C4×Q8—24no—
438C4×Q8—24no—
439C4×D4—28no—
440C4×D4—24no—
441C4×D4—24no—
442C4×D4—28no—
443#117—24no—
444#117—21no—
445#117—21no—
446#117—24no—
447#117C22⋊D6112yes—
448#117C22×D6112yes—
449C2×C4⋊C4—22no—
450C2×C4⋊C4—24no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—24no—
456C2×C4⋊C4C22⋊D6112yes—
457C2×C4⋊C4C22⋊D6111yescharacteristic
458C2×C4⋊C4C22⋊D6111yescharacteristic
459C2×C4⋊C4C22×D6112yes—
460C2×C22⋊C4—22no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—1228no—
463C2×C22⋊C4—2448no—
464C2×C42—22no—
465C2×C42—21no—
466C2×C42—612no—
467C2×C42—1222no—
468C2×C42—1222no—
469C2×C42—1221no—
470#104—1228no—
471#102—1224no—
472#102—1224no—
473C24—21no—
474C24—1222no—
475C24—1224no—
476C24—2444no—
477C24—2444no—
478C24—2441no—
479C24—2441no—
480C24—2442no—
481C24C2×C22⋊D6111yescharacteristic
482#41—22no—
483#41—22no—
484#41—24no—
485#41—24no—
486#41—24no—
487#41—24no—
488#41—24no—
489#41#1175819818yescomplemented
490#41C2×C4×D6114yes—
491#41C2×D24414yes—
492C2×Q8—21no—
493C2×Q8—22no—
494C2×Q8#1175819814yescomplemented
495C2×Q8C2×C22⋊D6112yes—
496C2×D4—22no—
497C2×D4—24no—
498C2×D4—22no—
499C2×D4—24no—
500C2×D4—21no—
501C2×D4—22no—
502C2×D4—614no—
503C2×D4—1222no—
504C2×D4—1222no—
505C2×D4—1222no—
506C2×D4—1222no—
507C2×D4—1222no—
508C2×D4—1224no—
509C2×D4—1224no—
510C2×D4—1224no—
511C2×D4—1224no—
512C2×D4—1224no—
513C2×D4—2441no—
514C2×D4—2441no—
515C2×D4—2442no—
516C2×D4—2442no—
517C2×D4—2442no—
518C2×D4—2442no—
519C2×D4—2442no—
520C2×D4#1175819814yescomplemented
521C2×D4C2×C22⋊D6112yes—
522C22×C4—21no—
523C22×C4—22no—
524C22×C4—24no—
525C22×C4—22no—
526C22×C4—24no—
527C22×C4—21no—
528C22×C4—22no—
529C22×C4—21no—
530C22×C4—28no—
531C22×C4—22no—
532C22×C4—44no—
533C22×C4—84no—
534C22×C4—1224no—
535C22×C4—1222no—
536C22×C4—2442no—
537C22×C4—2442no—
538C22×C4C2×C4×D6112yes—
539C22×C4C2×D24412yes—
540C22×C4#1175822212yes—
541C22×C4#1175822212yes—
542C22×C4C2×C22⋊D6114yes—
543C22×C4C2×C22⋊D6111yescharacteristic
544C22×C4C2×C22⋊D6111yescharacteristic
545C22×C4C2×C22⋊D6111yescharacteristic
546C22×C4C2×C22⋊D6111yescharacteristic
547C22×C4C2×C22⋊D6111yescharacteristic
548C22×C4C23×D6111yescharacteristic
549SD16—12216no—
550D8—12216no—
551M16—614no—
552M16—1222no—
553M16—1224no—
554M16—1222no—
555M16—1222no—
556M16—2442no—
557C2×C8—1222no—
558C2×C8—1224no—
559C2×C8—1222no—
560C2×C8—2442no—
561C4⋊C4—28no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—21no—
566C4⋊C4—22no—
567C4⋊C4—21no—
568C4⋊C4C2×C22⋊D6112yes—
569C4⋊C4C2×C22⋊D6112yes—
570C22⋊C4—28no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—24416no—
574C42—28no—
575C42—22no—
576C42—22no—
577C42—1222no—
578C42—1222no—
579C42—2442no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—24no—
584C23—42no—
585C23—42no—
586C23—1224no—
587C23—4882no—
588C23—4888no—
589C23—4882no—
590C23—4882no—
591C23—4882no—
592C23—2444no—
593C23—24416no—
594C23—2444no—
595C23—2442no—
596C23—2442no—
597C23—2444no—
598C23—2444no—
599C23C4×C22⋊D6112yes—
600C23#1451974611yescharacteristic
601C23#1451974611yescharacteristic
602C23#1451975112yes—
603C23C22×C22⋊D6111yescharacteristic
604Q8—22no—
605Q8—24no—
606Q8C2×#1175819814yescomplemented
607D4—24no—
608D4—24no—
609D4—28no—
610D4—22no—
611D4—24no—
612D4—1224no—
613D4—1224no—
614D4—2442no—
615D4—2442no—
616D4—2444no—
617D4—2444no—
618D4C2×#1175819814yescomplemented
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—28no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—44no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—44no—
631C2×C4—82no—
632C2×C4—88no—
633C2×C4—1224no—
634C2×C4—2448no—
635C2×C4—2442no—
636C2×C4—2442no—
637C2×C4C2×#1175819812yes—
638C2×C4C2×#1175819812yes—
639C2×C4C4×C22⋊D6112yes—
640C2×C4C4×C22⋊D6112yes—
641C2×C4C4×C22⋊D6112yes—
642C2×C4#1451974611yescharacteristic
643C2×C4#1451974611yescharacteristic
644C2×C4#1451975112yes—
645C2×C4#1451975112yes—
646C2×C4#1451975112yes—
647C2×C4#1451976012yes—
648C2×C4#1451976012yes—
649C2×C4C22×C4×D6111yescharacteristic
650C2×C4C22×C22⋊D6111yescharacteristic
651C2×C4C22×C22⋊D6111yescharacteristic
652C2×C4C22×D24411yescharacteristic
653C2×C4C2×#1175822211yescharacteristic
654C2×C4C2×#1175822211yescharacteristic
655C8—1224no—
656C8—2442no—
657C22—21no—
658C22—21no—
659C22—24no—
660C22—24no—
661C22—21no—
662C22—21no—
663C22—24no—
664C22—42no—
665C22—48no—
666C22—42no—
667C22—4884no—
668C22—4888no—
669C22—4882no—
670C22—4888no—
671C22—4882no—
672C22—2448no—
673C22—2444no—
674C22#1683964112yes—
675C22#1683964112yes—
676C22#1683993012yes—
677C22#1683993512yes—
678C22C2×C4×C22⋊D6111yescharacteristic
679C22C2×#1451974611yescharacteristic
680C22C2×#1451975111yescharacteristic
681C4—24no—
682C4—44no—
683C4—42no—
684C4—42no—
685C4—2444no—
686C4#1683964112yes—
687C4#1683964112yes—
688C4C22×#1175819811yescharacteristic
689C4C2×C4×C22⋊D6111yescharacteristic
690C4C2×#1451975111yescharacteristic
691C4C2×#1451976011yescharacteristic
692C2—21no—
693C2—22no—
694C2—21no—
695C2—44no—
696C2—4884no—
697C2#2144619514yesdirect product factor
698C2C2×#1683964111yescharacteristic
699C2C2×#1683993011yescharacteristic
700C2C2×#1683993511yescharacteristic
subgroupG/H
centerC23#14519746
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#520C2
socleC23×C61#120
prime radicalC22×#14519802C2
cosocleC22×C4×C61C24
hypercenterC2×#520D61
hypocenterC61C2×#1883
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#520

Complements

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

NH ≅ G/Ntype
2. C22×#14519704C2semidirect
3. C2×#16839766C2semidirect
4. C2×#16839663C2semidirect
5. #21446195C2direct (N × H)
6. C2×#16839531C2semidirect
7. C2×#16839521C2semidirect
8. C2×C61×#520C2semidirect
12. C2×#14519802C4semidirect
21. C2×#14519704C22semidirect
23. #16839766C22semidirect
27. #16839663C22semidirect
28. #16839531C22semidirect
29. #16839521C22semidirect
34. C61×#520C22semidirect
51. C22×D244C2×C4semidirect
56. #14519802C2×C4semidirect
66. C2×#11758194C2×C4semidirect
138. #41×C61C22⋊C4semidirect
143. C2×Q8×C61C22⋊C4semidirect
151. C2×D4×C61C22⋊C4semidirect
197. C2×D244C22×C4semidirect
224. #11758194C22×C4semidirect
255. Q8×C61C2×C22⋊C4semidirect
261. D4×C61C2×C22⋊C4semidirect
343. C2×#520D61semidirect
354. C2×C61#1883semidirect
372. #520C2×D61semidirect
392. C61C2×#1883semidirect
489. #41#11758198semidirect
494. C2×Q8#11758198semidirect
520. C2×D4#11758198semidirect
606. Q8C2×#11758198semidirect
618. D4C2×#11758198semidirect
697. C2#21446195direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145198022
C22×#145197042
C2×#168397662
C2×#168396632
#214461952
C2×#168395312
C2×#168395212
C2×C61×#5202
C2×#188361