Finite Group Databasebeta

← C2×#21447486 #29832796

Subgroups — C2×#21447486 #29832796

Order 15616.

1510 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840329C211yesmaximal, characteristic
2C22×#14519692C211yesmaximal, characteristic, complemented
3#21447486C218yesmaximal, direct product factor
4C2×#16839556C212yesmaximal, complemented
5C2×#16839554C212yesmaximal, complemented
6C22×#99×C61C211yesmaximal, characteristic, complemented
7C22×#11758222C411yescharacteristic, complemented
8#16840329—22no—
9#16840329—22no—
10#16840329C414yescomplemented
11#16840329C2214yes—
12C2×#14519773C411yescharacteristic, complemented
13C2×#14519773C2211yescharacteristic
14C2×#14519764C411yescharacteristic, complemented
15C2×#14519764C2211yescharacteristic
16C2×#14519748—21no—
17C2×#14519748—21no—
18C2×#14519746—21no—
19C2×#14519746—21no—
20C2×#14519736C411yescharacteristic, complemented
21C22×C22⋊Dic61—21no—
22C2×#14519692—21no—
23C2×#14519692—22no—
24C2×#14519692C2212yes—
25C2×#14519692C2214yescomplemented
26#16839556C2218yescomplemented
27#16839554C2218yescomplemented
28C23×D4×C61C2211yescharacteristic
29C22×C22⋊C4×C61—21no—
30C2×#99×C61—22no—
31C2×#99×C61—21no—
32C2×#99×C61C2212yes—
33C2×#99×C61C2214yescomplemented
34C2×#11758222—22no—
35C2×#11758222—41no—
36C2×#11758222—41no—
37C2×#11758222—42no—
38C2×#11758222C2×C414yescomplemented
39C22×Dic122C2×C411yescharacteristic, complemented
40C22×D244C2×C411yescharacteristic, complemented
41C22×C22⋊D61—21no—
42C22×C22⋊D61—21no—
43C22×C22⋊D61—21no—
44C22×C22⋊D61—21no—
45C22×C22⋊D61—21no—
46C23×Dic61—41no—
47C22×C4×D61—21no—
48#14519773—22no—
49#14519773—21no—
50#14519773—21no—
51#14519773C2×C414yescomplemented
52#14519773C2×C412yescomplemented
53#14519773C2312yes—
54#14519764—22no—
55#14519764—21no—
56#14519764—21no—
57#14519764C2×C414yescomplemented
58#14519764C2×C412yescomplemented
59#14519764C2312yes—
60#14519748—24no—
61#14519748—24no—
62#14519748—24no—
63#14519748—24no—
64#14519746—24no—
65#14519746—24no—
66#14519746—24no—
67#14519746—24no—
68#14519736—22no—
69#14519736C2×C414yescomplemented
70C2×C4⋊Dic61—21no—
71C2×C22⋊Dic61—21no—
72C2×C22⋊Dic61—21no—
73C2×C22⋊Dic61—21no—
74C2×C22⋊Dic61—21no—
75C2×C22⋊Dic61—21no—
76C2×C22⋊Dic61—22no—
77C2×C22⋊Dic61—24no—
78C2×C22⋊Dic61—42no—
79C2×C22⋊Dic61—41no—
80C2×C4×Dic61C2×C411yescharacteristic, complemented
81C2×C4×Dic61C2×C411yescharacteristic, complemented
82#14519692—22no—
83#14519692—24no—
84#14519692C2314yes—
85C25×C61D411yescharacteristic
86C25×C61D411yescharacteristic
87C22×D4×C61—41no—
88C22×D4×C61—41no—
89C22×D4×C61—42no—
90C22×D4×C61C2×C411yescharacteristic
91C22×D4×C61C2×C412yes—
92C22×D4×C61D411yescharacteristic
93C22×D4×C61D412yes—
94C22×D4×C61D411yescharacteristic
95C22×D4×C61D412yes—
96C22×D4×C61C2311yescharacteristic
97C22×D4×C61C2312yes—
98C23×C4×C61—41no—
99C23×C4×C61C2×C411yescharacteristic
100C2×C22⋊C4×C61—22no—
101C2×C22⋊C4×C61—24no—
102C2×C22⋊C4×C61—42no—
103C2×C22⋊C4×C61—41no—
104#99×C61—22no—
105#99×C61—24no—
106#99×C61C2314yes—
107C24×C61—21no—
108C24×C61—21no—
109C24×C61—21no—
110C24×C61—22no—
111C24×C61—21no—
112C24×C61—22no—
113C24×C61—82no—
114C24×C61—82no—
115C24×C61C22⋊C411yescharacteristic
116C24×C61C22⋊C411yescharacteristic
117C24×C61C22⋊C412yes—
118C24×C61C22⋊C412yes—
119C24×C61C22⋊C411yescharacteristic
120C24×C61C2×D411yescharacteristic
121C24×C61C2×D411yescharacteristic
122C24×C61C2×D412yes—
123C24×C61C2×D412yes—
124C23×D61—21no—
125C2×D4×C61—41no—
126C2×D4×C61—41no—
127C2×D4×C61—42no—
128C2×D4×C61—42no—
129C2×D4×C61—41no—
130C2×D4×C61—41no—
131C2×D4×C61—41no—
132C2×D4×C61—41no—
133C2×D4×C61—42no—
134C2×D4×C61—42no—
135C2×D4×C61—42no—
136C2×D4×C61—42no—
137C2×D4×C61—41no—
138C2×D4×C61—41no—
139C2×D4×C61—42no—
140C2×D4×C61—42no—
141C2×D4×C61C22⋊C412yes—
142C2×D4×C61C22⋊C412yes—
143C2×D4×C61C22⋊C412yes—
144C2×D4×C61C22×C412yes—
145C2×D4×C61C22×C411yescharacteristic
146C2×D4×C61C2×D412yes—
147C2×D4×C61C2×D411yescharacteristic
148C2×D4×C61C2×D412yes—
149C2×D4×C61C2×D411yescharacteristic
150C2×D4×C61C2411yescharacteristic
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—22no—
154C22×C4×C61—42no—
155C22×C4×C61—44no—
156C22×C4×C61—84no—
157C22×C4×C61C22⋊C411yescharacteristic
158C22×C4×C61C22⋊C412yes—
159C22×C4×C61C22×C411yescharacteristic
160C22×C4×C61C22×C412yes—
161C2×C22⋊D61—24no—
162C2×C22⋊D61—24no—
163C2×C22⋊D61—24no—
164C2×C22⋊D61—22no—
165C2×C22⋊D61—22no—
166C2×C22⋊D61—22no—
167C2×C22⋊D61—22no—
168C2×C22⋊D61—41no—
169C2×C22⋊D61—41no—
170C2×C22⋊D61—42no—
171C2×C22⋊D61—82no—
172C2×C22⋊D61—82no—
173C2×C22⋊D61—82no—
174C2×C22⋊D61—82no—
175C22×Dic61—21no—
176C22×Dic61—21no—
177C22×Dic61—21no—
178C22×Dic61—42no—
179C22×Dic61—44no—
180C22×Dic61—84no—
181#11758222—44no—
182#11758222—44no—
183#11758222—44no—
184#11758222—44no—
185C2×D244—21no—
186C2×D244—41no—
187C2×D244—41no—
188C2×D244C22×C412yescomplemented
189C2×C4×D61—24no—
190C2×C4×D61—42no—
191C2×C4×D61—42no—
192C2×Dic122—21no—
193C2×Dic122—41no—
194C2×Dic122—41no—
195C2×Dic122C22×C412yescomplemented
196C22⋊C4×C61—24no—
197C22⋊C4×C61—42no—
198C22⋊C4×C61—44no—
199C22⋊Dic61—24no—
200C22⋊Dic61—24no—
201C22⋊Dic61—24no—
202C22⋊Dic61—22no—
203C22⋊Dic61—22no—
204C22⋊Dic61—22no—
205C22⋊Dic61—22no—
206C22⋊Dic61—24no—
207C22⋊Dic61—42no—
208C22⋊Dic61—44no—
209C4⋊Dic61—24no—
210C4×Dic61—21no—
211C4×Dic61—21no—
212C4×Dic61C22×C412yescomplemented
213C4×Dic61C22×C412yescomplemented
214C23×C61—22no—
215C23×C61—21no—
216C23×C61—22no—
217C23×C61—21no—
218C23×C61—22no—
219C23×C61—22no—
220C23×C61—21no—
221C23×C61—21no—
222C23×C61—21no—
223C23×C61—22no—
224C23×C61—21no—
225C23×C61—22no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—22no—
229C23×C61—22no—
230C23×C61—42no—
231C23×C61—44no—
232C23×C61—44no—
233C23×C61—42no—
234C23×C61—42no—
235C23×C61—42no—
236C23×C61—42no—
237C23×C61—82no—
238C23×C61—82no—
239C23×C61—82no—
240C23×C61—82no—
241C23×C61—82no—
242C23×C61—82no—
243C23×C61—84no—
244C23×C61—84no—
245C23×C61#9911yescharacteristic
246C23×C61#9911yescharacteristic
247C23×C61#9912yes—
248C23×C61C2×C22⋊C411yescharacteristic
249C23×C61C2×C22⋊C411yescharacteristic
250C23×C61C2×C22⋊C412yes—
251C23×C61C2×C22⋊C411yescharacteristic
252C23×C61C2×C22⋊C412yes—
253C23×C61C2×C22⋊C412yes—
254C23×C61C22×D411yescharacteristic
255C23×C61C22×D411yescharacteristic
256C22×D61—22no—
257C22×D61—42no—
258C22×D61—42no—
259C22×D61—41no—
260C22×D61—41no—
261D4×C61—42no—
262D4×C61—42no—
263D4×C61—42no—
264D4×C61—42no—
265D4×C61—41no—
266D4×C61—41no—
267D4×C61—41no—
268D4×C61—42no—
269D4×C61—42no—
270D4×C61—41no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—22no—
276C2×C4×C61—22no—
277C2×C4×C61—22no—
278C2×C4×C61—22no—
279C2×C4×C61—44no—
280C2×C4×C61—88no—
281C2×C4×C61—84no—
282C2×C4×C61C2×C22⋊C411yescharacteristic
283C2×C4×C61C2×C22⋊C412yes—
284C2×C4×C61C23×C411yescharacteristic
285C22⋊D61—44no—
286C22⋊D61—44no—
287C22⋊D61—84no—
288C22⋊D61—84no—
289C22⋊D61—82no—
290C22⋊D61—82no—
291C22⋊D61—82no—
292C22⋊D61—82no—
293C2×Dic61—22no—
294C2×Dic61—22no—
295C2×Dic61—22no—
296C2×Dic61—42no—
297C2×Dic61—42no—
298C2×Dic61—41no—
299C2×Dic61—41no—
300C2×Dic61—44no—
301C2×Dic61—88no—
302C2×Dic61—84no—
303D244—42no—
304D244—42no—
305C4×D61—48no—
306Dic122—42no—
307Dic122—42no—
308C2×#2127—611nomaximal, Sylow
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—21no—
313C22×C61—21no—
314C22×C61—22no—
315C22×C61—21no—
316C22×C61—22no—
317C22×C61—21no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—42no—
321C22×C61—42no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—44no—
327C22×C61—44no—
328C22×C61—44no—
329C22×C61—44no—
330C22×C61—42no—
331C22×C61—42no—
332C22×C61—42no—
333C22×C61—42no—
334C22×C61—81no—
335C22×C61—81no—
336C22×C61—81no—
337C22×C61—81no—
338C22×C61—82no—
339C22×C61—82no—
340C22×C61—82no—
341C22×C61—82no—
342C22×C61C2×#9911yescharacteristic
343C22×C61C2×#9912yes—
344C22×C61C2×#9912yes—
345C22×C61C2×#9911yescharacteristic
346C22×C61C22×C22⋊C411yescharacteristic
347C2×D61—42no—
348C2×D61—42no—
349C2×D61—42no—
350C2×D61—82no—
351C2×D61—82no—
352C4×C61—21no—
353C4×C61—21no—
354C4×C61—22no—
355C4×C61—84no—
356Dic61—42no—
357Dic61—42no—
358Dic61—42no—
359Dic61—84no—
360C2×#535—611no—
361C22×#99—611no—
362C22×#99D6111yescharacteristic, complemented
363#2127—618no—
364C2×#354—612no—
365C2×#353—612no—
366C2×C61—21no—
367C2×C61—21no—
368C2×C61—22no—
369C2×C61—22no—
370C2×C61—41no—
371C2×C61—41no—
372C2×C61—42no—
373C2×C61—42no—
374C2×C61—41no—
375C2×C61—41no—
376C2×C61#212712yescomplemented
377C2×C61C22×#9911yescharacteristic
378D61—82no—
379C22×#41—611no—
380C23×D4C2×D6111yescharacteristic
381#535—614no—
382#535—614no—
383#535—1222no—
384#535—1222no—
385C2×#127—611no—
386C2×#127—611no—
387C2×#124—611no—
388C2×#124—611no—
389C2×#121—1221no—
390C2×#121—1221no—
391C2×#120—1221no—
392C2×#120—1221no—
393C2×#117—611no—
394C22×C22⋊C4—21no—
395C22×C22⋊C4—1221no—
396C2×#99—22no—
397C2×#99—21no—
398C2×#99—612no—
399C2×#99—614no—
400C2×#99—1221no—
401C2×#99—1222no—
402C2×#99C2×D6112yes—
403C2×#99C2×D6114yescomplemented
404#354—618no—
405#353—618no—
406C61C2×#212711yescharacteristic, complemented, Sylow
407C25D24411yescharacteristic
408C25C22⋊D6111yescharacteristic
409C2×#41—614no—
410C2×#41—1222no—
411C2×#41—2442no—
412C2×#41—2441no—
413C2×#41—2441no—
414C22×Q8—611no—
415C22×D4—41no—
416C22×D4—41no—
417C22×D4—42no—
418C22×D4—611no—
419C22×D4—1221no—
420C22×D4—1221no—
421C22×D4—1221no—
422C22×D4—1221no—
423C22×D4—1221no—
424C22×D4C4×D6111yescharacteristic
425C22×D4C4×D6112yes—
426C22×D4D24411yescharacteristic
427C22×D4D24412yes—
428C22×D4C22⋊D6111yescharacteristic
429C22×D4C22⋊D6112yes—
430C22×D4C22×D6111yescharacteristic
431C22×D4C22×D6112yes—
432C23×C4—41no—
433C23×C4—1221no—
434C23×C4—2441no—
435C23×C4C4×D6111yescharacteristic
436#127—614no—
437#127—612no—
438#127—612no—
439#127—1222no—
440#127—1221no—
441#127—1221no—
442#124—614no—
443#124—612no—
444#124—612no—
445#124—1222no—
446#124—1221no—
447#124—1221no—
448#121—1224no—
449#121—1224no—
450#121—1224no—
451#121—1224no—
452#120—1224no—
453#120—1224no—
454#120—1224no—
455#120—1224no—
456#117—614no—
457#117—1222no—
458C2×C4⋊C4—1221no—
459C2×C22⋊C4—22no—
460C2×C22⋊C4—24no—
461C2×C22⋊C4—42no—
462C2×C22⋊C4—41no—
463C2×C22⋊C4—1221no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1222no—
469C2×C22⋊C4—1224no—
470C2×C22⋊C4—2442no—
471C2×C22⋊C4—2441no—
472C2×C42—611no—
473C2×C42—611no—
474#99—22no—
475#99—24no—
476#99—614no—
477#99—1224no—
478#99—1222no—
479#99C22×D6114yes—
480C24—21no—
481C24—21no—
482C24—22no—
483C24—21no—
484C24—22no—
485C24—21no—
486C24—82no—
487C24—82no—
488C24—1221no—
489C24#1175819811yescharacteristic
490C24#1175819811yescharacteristic
491C24#1175819812yes—
492C24#1175819812yes—
493C24#1175819811yescharacteristic
494C24C2×D24411yescharacteristic
495C24C2×D24412yes—
496C24C2×C22⋊D6111yescharacteristic
497C24C2×C22⋊D6112yes—
498#41—2444no—
499#41—2444no—
500#41—2444no—
501#41—2444no—
502C2×Q8—612no—
503C2×Q8—1221no—
504C2×Q8—2441no—
505C2×Q8—2441no—
506C2×D4—41no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—41no—
510C2×D4—41no—
511C2×D4—42no—
512C2×D4—42no—
513C2×D4—41no—
514C2×D4—41no—
515C2×D4—42no—
516C2×D4—42no—
517C2×D4—41no—
518C2×D4—41no—
519C2×D4—42no—
520C2×D4—42no—
521C2×D4—41no—
522C2×D4—612no—
523C2×D4—1222no—
524C2×D4—1222no—
525C2×D4—1222no—
526C2×D4—1224no—
527C2×D4—1222no—
528C2×D4—1224no—
529C2×D4—1224no—
530C2×D4—1221no—
531C2×D4—4882no—
532C2×D4—4882no—
533C2×D4—4882no—
534C2×D4—4882no—
535C2×D4—2441no—
536C2×D4—2441no—
537C2×D4—2442no—
538C2×D4—2441no—
539C2×D4—2441no—
540C2×D4#1175819812yes—
541C2×D4#1175819812yes—
542C2×D4#1175819812yes—
543C2×D4C2×C4×D6112yes—
544C2×D4C2×C4×D6111yescharacteristic
545C2×D4C2×D24412yes—
546C2×D4C2×D24411yescharacteristic
547C2×D4C2×C22⋊D6112yes—
548C2×D4C2×C22⋊D6111yescharacteristic
549C2×D4C23×D6111yescharacteristic
550C22×C4—22no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—44no—
554C22×C4—42no—
555C22×C4—84no—
556C22×C4—1221no—
557C22×C4—1221no—
558C22×C4—1221no—
559C22×C4—1224no—
560C22×C4—4884no—
561C22×C4—2442no—
562C22×C4—2442no—
563C22×C4—2444no—
564C22×C4—2442no—
565C22×C4#1175819811yescharacteristic
566C22×C4#1175819812yes—
567C22×C4C2×C4×D6111yescharacteristic
568C22×C4C2×C4×D6112yes—
569C4⋊C4—1224no—
570C22⋊C4—24no—
571C22⋊C4—42no—
572C22⋊C4—44no—
573C22⋊C4—1222no—
574C22⋊C4—1222no—
575C22⋊C4—1224no—
576C22⋊C4—1224no—
577C22⋊C4—1222no—
578C22⋊C4—1224no—
579C22⋊C4—1222no—
580C22⋊C4—1224no—
581C22⋊C4—2442no—
582C22⋊C4—2444no—
583C42—612no—
584C42—612no—
585C42—1221no—
586C42—1221no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—22no—
597C23—21no—
598C23—22no—
599C23—21no—
600C23—21no—
601C23—22no—
602C23—22no—
603C23—42no—
604C23—44no—
605C23—44no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—82no—
611C23—82no—
612C23—82no—
613C23—82no—
614C23—82no—
615C23—82no—
616C23—84no—
617C23—84no—
618C23—1222no—
619C23—2442no—
620C23—2442no—
621C23—2441no—
622C23—2441no—
623C23#1451969111yescharacteristic
624C23#1451969111yescharacteristic
625C23#1451969112yes—
626C23C2×#1175819811yescharacteristic
627C23C2×#1175819811yescharacteristic
628C23C2×#1175819812yes—
629C23C2×#1175819811yescharacteristic
630C23C2×#1175819812yes—
631C23C2×#1175819812yes—
632C23C22×C22⋊D6111yescharacteristic
633C23C22×D24411yescharacteristic
634Q8—2442no—
635Q8—2442no—
636D4—42no—
637D4—42no—
638D4—42no—
639D4—42no—
640D4—41no—
641D4—42no—
642D4—41no—
643D4—42no—
644D4—41no—
645D4—41no—
646D4—4882no—
647D4—4882no—
648D4—4884no—
649D4—4884no—
650D4—4882no—
651D4—4882no—
652D4—2442no—
653D4—2442no—
654D4—2444no—
655D4—2444no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—44no—
665C2×C4—88no—
666C2×C4—84no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—1222no—
670C2×C4—4888no—
671C2×C4—4884no—
672C2×C4—2448no—
673C2×C4—2444no—
674C2×C4—2442no—
675C2×C4—2442no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4C2×#1175819811yescharacteristic
679C2×C4C2×#1175819812yes—
680C2×C4C22×C4×D6111yescharacteristic
681C22—22no—
682C22—22no—
683C22—22no—
684C22—21no—
685C22—21no—
686C22—22no—
687C22—21no—
688C22—22no—
689C22—21no—
690C22—42no—
691C22—42no—
692C22—41no—
693C22—41no—
694C22—42no—
695C22—42no—
696C22—41no—
697C22—41no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—44no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—81no—
707C22—81no—
708C22—81no—
709C22—81no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—4882no—
715C22—4882no—
716C22—2442no—
717C22—2442no—
718C22—2442no—
719C22C2×#1451969111yescharacteristic
720C22C2×#1451969112yes—
721C22C2×#1451969112yes—
722C22C2×#1451969111yescharacteristic
723C22C22×#1175819811yescharacteristic
724C4—22no—
725C4—21no—
726C4—21no—
727C4—84no—
728C4—4884no—
729C4—2442no—
730C4—2442no—
731C4—2442no—
732C2—21no—
733C2—22no—
734C2—22no—
735C2—21no—
736C2—41no—
737C2—41no—
738C2—42no—
739C2—42no—
740C2—41no—
741C2—41no—
742C2—4882no—
743C2#2144748612yesdirect product factor
744C2C22×#1451969111yescharacteristic
subgroupG/H
centerC22C2×#14519691
commutatorC2×C4×C61C23×C4
FrattiniC2×D4C23×D61
FittingC22×#99×C61C2
socleC22×C61C2×#99
prime radicalC2×#16840329C2
cosocleC2×D4×C61C24
hypercenterC22×#99D61
hypocenterC61C2×#2127
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C24 ◁ C23×D4 ◁ C22×#99

Complements

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

NH ≅ G/Ntype
2. C22×#14519692C2semidirect
3. #21447486C2direct (N × H)
4. C2×#16839556C2semidirect
5. C2×#16839554C2semidirect
6. C22×#99×C61C2semidirect
7. C22×#11758222C4semidirect
10. #16840329C4semidirect
12. C2×#14519773C4semidirect
14. C2×#14519764C4semidirect
20. C2×#14519736C4semidirect
25. C2×#14519692C22semidirect
26. #16839556C22semidirect
27. #16839554C22semidirect
33. C2×#99×C61C22semidirect
38. C2×#11758222C2×C4semidirect
39. C22×Dic122C2×C4semidirect
40. C22×D244C2×C4semidirect
51. #14519773C2×C4semidirect
52. #14519773C2×C4semidirect
57. #14519764C2×C4semidirect
58. #14519764C2×C4semidirect
69. #14519736C2×C4semidirect
80. C2×C4×Dic61C2×C4semidirect
81. C2×C4×Dic61C2×C4semidirect
188. C2×D244C22×C4semidirect
195. C2×Dic122C22×C4semidirect
212. C4×Dic61C22×C4semidirect
213. C4×Dic61C22×C4semidirect
362. C22×#99D61semidirect
376. C2×C61#2127semidirect
403. C2×#99C2×D61semidirect
406. C61C2×#2127semidirect
743. C2#21447486direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168403292
C22×#145196922
#214474862
C2×#168395562
C2×#168395542
C22×#99×C612
C2×#212761