Finite Group Databasebeta

← C2×#19149103 #26004051

Subgroups — C2×#19149103 #26004051

Order 11008.

6554 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149103C2132yesmaximal, direct product factor
2C2×#14583653C214yesmaximal, complemented
3C2×#14583634C212yesmaximal, complemented
4C2×#14583625C212yesmaximal, complemented
5C2×#14583623C212yesmaximal, complemented
6C2×#14583605C212yesmaximal, complemented
7C2×#14583587C214yesmaximal, complemented
8C2×#14583522C212yesmaximal, complemented
9C2×#14583515C214yesmaximal, complemented
10C2×#14583504C211yesmaximal, characteristic
11C2×#14583490C214yesmaximal, complemented
12C2×#14583452C211yesmaximal, characteristic, complemented
13C2×#14583435C212yesmaximal, complemented
14C2×C43×#541C211yesmaximal, characteristic, complemented
15#14583653C22164yescomplemented
16#14583634C22132yescomplemented
17#14583625C22132yescomplemented
18#14583623C22132yescomplemented
19#14583605C22132yescomplemented
20#14583587C22164yescomplemented
21#14583522C22132yescomplemented
22#14583515C22164yescomplemented
23#14583504C22116yes—
24#14583490C22164yescomplemented
25#14583452C22116yescomplemented
26C2×#13063324C2212yes—
27C2×#13063324C2212yes—
28C2×#13063324C2214yes—
29C2×#13063322C2211yescharacteristic
30#14583435C22132yescomplemented
31C2×#13063320C2214yes—
32C2×#13063320C2214yes—
33C2×#13063320C2214yes—
34C2×#13063320C2214yes—
35C2×#13063317C2211yescharacteristic
36C2×#13063317C2214yes—
37C2×#13063316C2212yes—
38C2×#13063316C2214yes—
39C2×#13063316C2212yes—
40C2×#13063314C2212yes—
41C2×#13063314C2212yes—
42C2×#13063313C2214yes—
43C2×#13063311C2214yes—
44C2×#13063310C2214yes—
45C2×#13063310C2214yes—
46C2×#13063310C2214yes—
47C2×#13063309C2214yes—
48C2×#13063307C2214yes—
49C2×#13063305C2214yes—
50C2×#13063305C2214yes—
51C2×#13063305C2214yes—
52C2×#13063303C2214yes—
53C2×#13063303C2214yes—
54C2×#13063302C2212yes—
55C2×#13063302C2212yes—
56C2×#13063299C2212yes—
57C2×#13063298C2214yes—
58C2×Q8×Dic43C2212yes—
59C2×Q8×Dic43C2212yes—
60C2×C4×Dic86C2214yes—
61C2×C4×Dic86C2212yes—
62C2×C4×Dic86C2212yes—
63C2×C4×D172C2214yes—
64C2×C4×D172C2212yes—
65C2×#13063287C2212yes—
66C2×#13063287C2212yes—
67C2×(C22⋊D43)⋊C4C2214yes—
68C2×#13063284C2211yescharacteristic
69C2×#13063283C2214yes—
70C2×#13063283C2214yes—
71C2×C4⋊C4×D43C2214yes—
72C22×C4×Dic43C2211yescharacteristic
73C43×#541C22116yescomplemented
74C2×C4⋊Q8×C43C2211yescharacteristic
75C2×#126×C43C2214yes—
76C2×#125×C43C2214yes—
77C2×#125×C43C2211yescharacteristic
78C2×C22⋊Q8×C43C2212yes—
79C2×C4×Q8×C43C2212yes—
80C2×#117×C43C2211yescharacteristic
81C22×Dic86C2312yes—
82C22×Dic86C2312yes—
83C22×Dic86C2314yes—
84C22×D172C2312yes—
85C22×D172C2314yes—
86C22×C22⋊D43C2314yes—
87C23×Dic43C2312yes—
88C22×C4×D43C2314yes—
89C22×C4×D43C2314yes—
90C22×C4×D43C2314yes—
91#13063324C23116yes—
92#13063324C23132yes—
93#13063324C23116yes—
94#13063322C2318yes—
95#13063320C23132yes—
96#13063320C23132yes—
97#13063320C23132yes—
98#13063320C23132yes—
99#13063317C2318yes—
100#13063317C23132yes—
101#13063316C23116yes—
102#13063316C23132yes—
103#13063316C23116yes—
104#13063314C23116yes—
105#13063314C23116yes—
106#13063313C23132yes—
107#13063311C23132yes—
108#13063310C23132yes—
109#13063310C23132yes—
110#13063310C23132yes—
111#13063309C23132yes—
112#13063307C23132yes—
113#13063305C23132yes—
114#13063305C23132yes—
115#13063305C23132yes—
116#13063303C23132yes—
117#13063303C23132yes—
118#13063302C23116yes—
119#13063302C23116yes—
120#13063299C23116yes—
121#13063298C23132yes—
122Q8×Dic43C23116yes—
123Q8×Dic43C23116yes—
124C4×Dic86C23132yes—
125C4×Dic86C23116yes—
126C4×Dic86C23116yes—
127C4×D172C23132yes—
128C4×D172C23116yes—
129#13063287C23116yes—
130#13063287C23116yes—
131(C22⋊D43)⋊C4C23132yes—
132#13063284C2318yes—
133#13063283C23132yes—
134#13063283C23132yes—
135C2×C4⋊Dic43C2314yes—
136C2×C4⋊Dic43C2312yes—
137C2×C4⋊Dic43C2312yes—
138C2×C4⋊Dic43C2312yes—
139C2×C4⋊Dic43C2312yes—
140C2×C4⋊Dic43C2314yes—
141C2×C4⋊Dic43C2314yes—
142C2×Dic43⋊C4C2312yes—
143C2×Dic43⋊C4C2314yes—
144C2×Dic43⋊C4C2314yes—
145C2×Dic43⋊C4C2312yes—
146C2×Dic43⋊C4C2314yes—
147C2×Dic43⋊C4C2312yes—
148C2×Dic43⋊C4C2312yes—
149C4⋊C4×D43C23132yes—
150C2×C22⋊Dic43C2311yescharacteristic
151C2×C22⋊Dic43C2311yescharacteristic
152C2×(C2×D43)⋊C4C2314yes—
153C2×(C2×D43)⋊C4C2314yes—
154C2×(C2×D43)⋊C4C2314yes—
155C2×(C2×D43)⋊C4C2314yes—
156C2×(C2×D43)⋊C4C2314yes—
157C2×(C2×D43)⋊C4C2314yes—
158C2×(C2×D43)⋊C4C2314yes—
159C2×(C2×D43)⋊C4C2314yes—
160C2×C4×Dic43C2311yescharacteristic
161C2×C4×Dic43C2312yes—
162C2×C4×Dic43C2311yescharacteristic
163C2×C4×Dic43C2318yes—
164C2×C4×Dic43C2314yes—
165C2×C4×Dic43C2314yes—
166C2×C4×Dic43C2312yes—
167C22×Q8×C43C2312yes—
168C23×C4×C43C2311yescharacteristic
169C4⋊Q8×C43C2318yes—
170#126×C43C23132yes—
171#125×C43C23132yes—
172#125×C43C2318yes—
173C22⋊Q8×C43C23116yes—
174C4×Q8×C43C23116yes—
175#117×C43C2318yes—
176C2×C4⋊C4×C43C2312yes—
177C2×C4⋊C4×C43C2312yes—
178C2×C4⋊C4×C43C2314yes—
179C2×C4⋊C4×C43C2314yes—
180C2×C4⋊C4×C43C2314yes—
181C2×C4⋊C4×C43C2314yes—
182C2×C22⋊C4×C43C2312yes—
183C2×C22⋊C4×C43C2314yes—
184C2×C42×C43C2311yescharacteristic
185C2×C42×C43C2311yescharacteristic
186C2×C42×C43C2314yes—
187C24×C43C2411yescharacteristic
188C23×D43C2414yes—
189C2×Q8×C43—28no—
190C2×Q8×C43C2418yes—
191C22×C4×C43—24no—
192C22×C4×C43C2412yes—
193C22×C4×C43C2412yes—
194C22×C4×C43C2414yes—
195C22×C4×C43C2414yes—
196C22×C4×C43C2411yescharacteristic
197C22×C4×C43C2414yes—
198C22×C4×C43C2411yescharacteristic
199C2×C22⋊D43—48no—
200C2×C22⋊D43C24116yes—
201C22×Dic43—44no—
202C22×Dic43C2412yes—
203C22×Dic43C2412yes—
204C22×Dic43C2412yes—
205C22×Dic43C2414yes—
206C22×Dic43C2412yes—
207C22×Dic43C2418yes—
208C2×D172—28no—
209C2×D172—48no—
210C2×D172C2418yes—
211C2×D172C24116yes—
212C2×C4×D43—48no—
213C2×C4×D43—48no—
214C2×C4×D43—48no—
215C2×C4×D43C24116yes—
216C2×C4×D43C24116yes—
217C2×C4×D43C24116yes—
218C2×Dic86—44no—
219C2×Dic86—48no—
220C2×Dic86—44no—
221C2×Dic86C2418yes—
222C2×Dic86C2418yes—
223C2×Dic86C24116yes—
224C4⋊C4×C43C2418yes—
225C4⋊C4×C43C2418yes—
226C4⋊C4×C43C24116yes—
227C4⋊C4×C43C24116yes—
228C4⋊C4×C43C24116yes—
229C4⋊C4×C43C24116yes—
230C22⋊C4×C43C2418yes—
231C22⋊C4×C43C24116yes—
232C42×C43C2414yes—
233C42×C43C2414yes—
234C42×C43C24116yes—
235C22⋊Dic43C2414yes—
236C22⋊Dic43C2414yes—
237(C2×D43)⋊C4C24116yes—
238(C2×D43)⋊C4C24116yes—
239(C2×D43)⋊C4C24116yes—
240(C2×D43)⋊C4C24116yes—
241(C2×D43)⋊C4C24116yes—
242(C2×D43)⋊C4C24116yes—
243(C2×D43)⋊C4C24116yes—
244(C2×D43)⋊C4C24116yes—
245C4⋊Dic43C24116yes—
246C4⋊Dic43C2418yes—
247C4⋊Dic43C2418yes—
248C4⋊Dic43C2418yes—
249C4⋊Dic43C2418yes—
250C4⋊Dic43C24116yes—
251C4⋊Dic43C24116yes—
252Dic43⋊C4C2418yes—
253Dic43⋊C4C24116yes—
254Dic43⋊C4C24116yes—
255Dic43⋊C4C2418yes—
256Dic43⋊C4C24116yes—
257Dic43⋊C4C2418yes—
258Dic43⋊C4C2418yes—
259C4×Dic43C2414yes—
260C4×Dic43C2418yes—
261C4×Dic43C2414yes—
262C4×Dic43C24116yes—
263C4×Dic43C24116yes—
264C4×Dic43C2418yes—
265C23×C43—22no—
266C23×C43—24no—
267C23×C43C2512yes—
268C23×C43C2511yescharacteristic
269C22×D43—28no—
270C22×D43—28no—
271C22×D43—28no—
272C22×D43C2518yes—
273Q8×C43—216no—
274C2×C4×C43—22no—
275C2×C4×C43—28no—
276C2×C4×C43—28no—
277C2×C4×C43—24no—
278C2×C4×C43—24no—
279C2×C4×C43—28no—
280C2×C4×C432−1+414yes—
281C2×C4×C43C2518yes—
282C2×C4×C43C2512yes—
283C2×C4×C43C2514yes—
284C2×C4×C43C2514yes—
285C2×C4×C43C2518yes—
286C2×C4×C43C2512yes—
287C22⋊D43—416no—
288C2×Dic43—24no—
289C2×Dic43—24no—
290C2×Dic43—24no—
291C2×Dic43—28no—
292C2×Dic43—24no—
293C2×Dic43—48no—
294C2×Dic43C2514yes—
295C2×Dic43C2514yes—
296C2×Dic43C2518yes—
297C2×Dic43C2514yes—
298C2×Dic43C2514yes—
299D172—216no—
300D172—416no—
301C4×D43—416no—
302C4×D43—416no—
303C4×D43—416no—
304Dic86—48no—
305Dic86—416no—
306Dic86—48no—
307C2×#3557—431nomaximal, Sylow
308C22×C43—22no—
309C22×C43—24no—
310C22×C43—44no—
311C22×C43C2×2−1+412yes—
312C22×C43#58514yes—
313C22×C43C2611yescharacteristic
314C2×D43—28no—
315C2×D43—28no—
316C2×D43—28no—
317C2×D43—416no—
318C4×C43—22no—
319C4×C43—28no—
320C4×C43—28no—
321C4×C43—24no—
322C4×C43—24no—
323C4×C43C2×2−1+414yes—
324Dic43—24no—
325Dic43—24no—
326Dic43—24no—
327Dic43—28no—
328Dic43—24no—
329#3557—4332no—
330C2×#563—434no—
331C2×#559—432no—
332C2×#557—432no—
333C2×#556—432no—
334C2×#554—432no—
335C2×#552—434no—
336C2×#542—434no—
337C2×#542—432no—
338C2×#541D4311yescharacteristic, complemented
339C2×#540—431no—
340C2×#539—434no—
341C2×#533—431no—
342C2×#529—432no—
343C2×C43—42no—
344C2×C43#355714yescomplemented
345C2×C43C22×2−1+411yescharacteristic
346C2×C43C2×#58512yes—
347D43—48no—
348#563—4364no—
349#559—4332no—
350#557—4332no—
351#556—4332no—
352#554—4332no—
353#552—4364no—
354#542—4364no—
355#542—4332no—
356#541C2×D43116yescomplemented
357#540—4316no—
358#539—4364no—
359#533—4316no—
360C2×C4⋊Q8—432no—
361C2×C4⋊Q8—432no—
362C2×C4⋊Q8—434no—
363C2×C4⋊Q8C2×D4311yescharacteristic
364C2×#127—431no—
365#529—4332no—
366C2×#126—434no—
367C2×#126—434no—
368C2×#126—434no—
369C2×#126—434no—
370C2×#126C2×D4314yes—
371C2×#125—432no—
372C2×#125—432no—
373C2×#125—434no—
374C2×#125—434no—
375C2×#125—431no—
376C2×#125C2×D4314yes—
377C2×#125C2×D4311yescharacteristic
378C2×#124—432no—
379C2×#124—432no—
380C2×#124—434no—
381C2×#124—434no—
382C2×#123—434no—
383C2×#123—434no—
384C2×#123—434no—
385C2×#123—434no—
386C2×#123—434no—
387C2×C22⋊Q8—434no—
388C2×C22⋊Q8—434no—
389C2×C22⋊Q8—434no—
390C2×C22⋊Q8—434no—
391C2×C22⋊Q8—434no—
392C2×C22⋊Q8—432no—
393C2×C22⋊Q8—432no—
394C2×C22⋊Q8C2×D4312yes—
395C2×#121—432no—
396C2×#121—434no—
397C2×C4×Q8—432no—
398C2×C4×Q8—432no—
399C2×C4×Q8—432no—
400C2×C4×Q8—432no—
401C2×C4×Q8—434no—
402C2×C4×Q8C2×D4312yes—
403C2×C4×D4—432no—
404C2×C4×D4—432no—
405C2×C4×D4—434no—
406C2×C4×D4—434no—
407C2×C4×D4—432no—
408C2×#117—431no—
409C2×#117—434no—
410C2×#117—434no—
411C2×#117C2×D4311yescharacteristic
412C22×C4⋊C4—434no—
413C22×C42—431no—
414C43C2×#355711yescharacteristic, complemented, Sylow
415C22×Q8—432no—
416C22×Q8—434no—
417C22×Q8—432no—
418C22×Q8C22×D4312yes—
419C22×D4—434no—
420C22×D4—432no—
421C22×D4—434no—
422C23×C4—432no—
423C23×C4—434no—
424C23×C4—434no—
425C23×C4—434no—
426C23×C4C22×D4311yescharacteristic
427C4⋊Q8—4316no—
428C4⋊Q8—4316no—
429C4⋊Q8—4332no—
430C4⋊Q8C22×D4318yes—
431#127—438no—
432#126—4332no—
433#126—4332no—
434#126—4332no—
435#126—4332no—
436#126C22×D43132yes—
437#125—4316no—
438#125—4316no—
439#125—4332no—
440#125—4332no—
441#125—438no—
442#125C22×D43132yes—
443#125C22×D4318yes—
444#124—4316no—
445#124—4316no—
446#124—4332no—
447#124—4332no—
448#123—4332no—
449#123—4332no—
450#123—4332no—
451#123—4332no—
452#123—4332no—
453C22⋊Q8—4332no—
454C22⋊Q8—4332no—
455C22⋊Q8—4332no—
456C22⋊Q8—4332no—
457C22⋊Q8—4332no—
458C22⋊Q8—4316no—
459C22⋊Q8—4316no—
460C22⋊Q8C22×D43116yes—
461#121—4316no—
462#121—4332no—
463C4×Q8—4316no—
464C4×Q8—4316no—
465C4×Q8—4316no—
466C4×Q8—4316no—
467C4×Q8—4332no—
468C4×Q8C22×D43116yes—
469C4×D4—4316no—
470C4×D4—4316no—
471C4×D4—4332no—
472C4×D4—4332no—
473C4×D4—4316no—
474#117—438no—
475#117—4332no—
476#117—4332no—
477#117C22×D4318yes—
478C2×C4⋊C4—432no—
479C2×C4⋊C4—434no—
480C2×C4⋊C4—434no—
481C2×C4⋊C4—432no—
482C2×C4⋊C4—432no—
483C2×C4⋊C4—432no—
484C2×C4⋊C4—432no—
485C2×C4⋊C4—434no—
486C2×C4⋊C4—432no—
487C2×C4⋊C4—434no—
488C2×C4⋊C4—432no—
489C2×C4⋊C4—434no—
490C2×C4⋊C4—432no—
491C2×C4⋊C4—434no—
492C2×C4⋊C4—4332no—
493C2×C4⋊C4C22×D4314yes—
494C2×C4⋊C4C22×D4314yes—
495C2×C4⋊C4C22×D4314yes—
496C2×C4⋊C4C22×D4312yes—
497C2×C4⋊C4C22×D4312yes—
498C2×C4⋊C4C22×D4314yes—
499C2×C22⋊C4—431no—
500C2×C22⋊C4—431no—
501C2×C22⋊C4—434no—
502C2×C22⋊C4—434no—
503C2×C22⋊C4—434no—
504C2×C22⋊C4—434no—
505C2×C22⋊C4—434no—
506C2×C22⋊C4—434no—
507C2×C22⋊C4—434no—
508C2×C22⋊C4—434no—
509C2×C22⋊C4C22×D4312yes—
510C2×C22⋊C4C22×D4314yes—
511C2×C42—431no—
512C2×C42—434no—
513C2×C42—432no—
514C2×C42—434no—
515C2×C42—432no—
516C2×C42—431no—
517C2×C42—438no—
518C2×C42C22×D4311yescharacteristic
519C2×C42C22×D4311yescharacteristic
520C2×C42C22×D4314yes—
521C24—434no—
522C24C23×D4311yescharacteristic
523C2×Q8—28no—
524C2×Q8—438no—
525C2×Q8—4316no—
526C2×Q8—438no—
527C2×Q8—1724no—
528C2×Q8—1728no—
529C2×Q8—1724no—
530C2×Q8C23×D4318yes—
531C2×D4—4316no—
532C2×D4—438no—
533C2×D4—4316no—
534C2×D4—868no—
535C2×D4—1728no—
536C2×D4—1728no—
537C22×C4—24no—
538C22×C4—432no—
539C22×C4—432no—
540C22×C4—432no—
541C22×C4—434no—
542C22×C4—432no—
543C22×C4—438no—
544C22×C4—4316no—
545C22×C4—4316no—
546C22×C4—4316no—
547C22×C4—1728no—
548C22×C4—1728no—
549C22×C4—1728no—
550C22×C4—1724no—
551C22×C4C23×D4314yes—
552C22×C4C23×D4314yes—
553C22×C4C23×D4311yescharacteristic
554C22×C4C23×D4312yes—
555C22×C4C23×D4312yes—
556C22×C4C23×D4314yes—
557C22×C4C23×D4311yescharacteristic
558C4⋊C4—438no—
559C4⋊C4—4316no—
560C4⋊C4—4316no—
561C4⋊C4—438no—
562C4⋊C4—438no—
563C4⋊C4—438no—
564C4⋊C4—438no—
565C4⋊C4—4316no—
566C4⋊C4—438no—
567C4⋊C4—4316no—
568C4⋊C4—438no—
569C4⋊C4—4316no—
570C4⋊C4—438no—
571C4⋊C4—4316no—
572C4⋊C4C23×D43116yes—
573C4⋊C4C23×D43116yes—
574C4⋊C4C23×D43116yes—
575C4⋊C4C23×D4318yes—
576C4⋊C4C23×D4318yes—
577C4⋊C4C23×D43116yes—
578C22⋊C4—434no—
579C22⋊C4—434no—
580C22⋊C4—4316no—
581C22⋊C4—4316no—
582C22⋊C4—4316no—
583C22⋊C4—4316no—
584C22⋊C4—4316no—
585C22⋊C4—4316no—
586C22⋊C4—4316no—
587C22⋊C4—4316no—
588C22⋊C4C23×D4318yes—
589C22⋊C4C23×D43116yes—
590C42—434no—
591C42—438no—
592C42—434no—
593C42—4316no—
594C42—438no—
595C42—4316no—
596C42C23×D4314yes—
597C42C23×D4314yes—
598C42C23×D43116yes—
599C23—22no—
600C23—24no—
601C23—438no—
602C23—868no—
603C23—868no—
604C23—868no—
605C23C24×D4312yes—
606C23C24×D4311yescharacteristic
607Q8—216no—
608Q8—1728no—
609Q8—17216no—
610Q8—1728no—
611D4—8616no—
612D4—17216no—
613D4—17216no—
614C2×C4—22no—
615C2×C4—28no—
616C2×C4—28no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—28no—
620C2×C4—434no—
621C2×C4—434no—
622C2×C4—434no—
623C2×C4—438no—
624C2×C4—434no—
625C2×C4—864no—
626C2×C4—864no—
627C2×C4—868no—
628C2×C4—864no—
629C2×C4—864no—
630C2×C4—17216no—
631C2×C4—17216no—
632C2×C4—17216no—
633C2×C4—1728no—
634C2×C4#1306337214yes—
635C2×C4C24×D4318yes—
636C2×C4C24×D4312yes—
637C2×C4C24×D4314yes—
638C2×C4C24×D4314yes—
639C2×C4C24×D4318yes—
640C2×C4C24×D4312yes—
641C22—22no—
642C22—24no—
643C22—44no—
644C22—868no—
645C22—868no—
646C22—868no—
647C22—17216no—
648C22C2×#1306337212yes—
649C22#1458373614yes—
650C22C25×D4311yescharacteristic
651C4—22no—
652C4—28no—
653C4—28no—
654C4—24no—
655C4—24no—
656C4—864no—
657C4—864no—
658C4—868no—
659C4—864no—
660C4—864no—
661C4C2×#1306337214yes—
662C2—42no—
663C2—1728no—
664C2#1914910314yesdirect product factor
665C2C22×#1306337211yescharacteristic
666C2C2×#1458373612yes—
subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#541C2
socleC23×C43C25
prime radicalC2×#14583504C2
hypercenterC2×#541D43
hypocenterC43C2×#3557
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#541

Complements

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

NH ≅ G/Ntype
1. #19149103C2direct (N × H)
2. C2×#14583653C2semidirect
3. C2×#14583634C2semidirect
4. C2×#14583625C2semidirect
5. C2×#14583623C2semidirect
6. C2×#14583605C2semidirect
7. C2×#14583587C2semidirect
8. C2×#14583522C2semidirect
9. C2×#14583515C2semidirect
11. C2×#14583490C2semidirect
12. C2×#14583452C2semidirect
13. C2×#14583435C2semidirect
14. C2×C43×#541C2semidirect
15. #14583653C22semidirect
16. #14583634C22semidirect
17. #14583625C22semidirect
18. #14583623C22semidirect
19. #14583605C22semidirect
20. #14583587C22semidirect
21. #14583522C22semidirect
22. #14583515C22semidirect
24. #14583490C22semidirect
25. #14583452C22semidirect
30. #14583435C22semidirect
73. C43×#541C22semidirect
338. C2×#541D43semidirect
344. C2×C43#3557semidirect
356. #541C2×D43semidirect
414. C43C2×#3557semidirect
664. C2#19149103direct (N × H)

Maximal subgroups

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

subgroupindex
#191491032
C2×#145836532
C2×#145836342
C2×#145836252
C2×#145836232
C2×#145836052
C2×#145835872
C2×#145835222
C2×#145835152
C2×#145835042
C2×#145834902
C2×#145834522
C2×#145834352
C2×C43×#5412
C2×#355743