Finite Group Databasebeta

← C2×#22624437 #33993437

Subgroups — C2×#22624437 #33993437

Order 18688.

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#22624437C2132yesmaximal, direct product factor
2C2×#17989336C214yesmaximal, complemented
3C2×#17989322C212yesmaximal, complemented
4C2×#17989315C212yesmaximal, complemented
5C2×#17989310C212yesmaximal, complemented
6C2×#17989297C212yesmaximal, complemented
7C2×#17989269C214yesmaximal, complemented
8C2×#17989208C212yesmaximal, complemented
9C2×#17989207C214yesmaximal, complemented
10C2×#17989199C211yesmaximal, characteristic, complemented
11C2×#17989192C211yesmaximal, characteristic
12C2×#17989183C214yesmaximal, complemented
13C2×#17989121C212yesmaximal, complemented
14C2×#533×C73C211yesmaximal, characteristic, complemented
15#17989336C22164yescomplemented
16#17989322C22132yescomplemented
17#17989315C22132yescomplemented
18#17989310C22132yescomplemented
19#17989297C22132yescomplemented
20#17989269C22164yescomplemented
21#17989208C22132yescomplemented
22#17989207C22164yescomplemented
23#17989199C22116yescomplemented
24#17989192C22116yes—
25#17989183C22164yescomplemented
26C2×#14556591C2212yes—
27C2×#14556591C2211yescharacteristic
28C2×#14556589C2214yes—
29C2×#14556588C2211yescharacteristic
30#17989121C22132yescomplemented
31C2×#14556586C2214yes—
32C2×#14556586C2214yes—
33C2×#14556586C2214yes—
34C2×#14556585C2214yes—
35C2×#14556584C2214yes—
36C2×#14556583C2211yescharacteristic
37C2×#14556583C2212yes—
38C2×#14556583C2211yescharacteristic
39C2×#14556581C2214yes—
40C2×#14556581C2214yes—
41C2×#14556581C2214yes—
42C2×#14556580C2214yes—
43C2×#14556579C2212yes—
44C2×#14556579C2212yes—
45C2×#14556577C2214yes—
46C2×#14556576C2214yes—
47C2×#14556576C2214yes—
48C2×#14556576C2214yes—
49C2×#14556574C2214yes—
50C2×#14556573C2214yes—
51C2×#14556570C2212yes—
52C2×#14556569C2214yes—
53C2×#14556569C2214yes—
54C2×#14556569C2214yes—
55C2×#14556567C2214yes—
56C2×#14556567C2214yes—
57C2×#14556565C2212yes—
58C2×#14556564C2214yes—
59C2×C4×Dic146C2212yes—
60C2×C4×Dic146C2212yes—
61C2×C4×Dic146C2212yes—
62C2×#14556556C2214yes—
63C2×C4×D292C2212yes—
64C2×C4×D292C2212yes—
65C2×C4×D292C2212yes—
66C2×#14556553C2214yes—
67C2×C4×C22⋊D73C2214yes—
68C2×#14556549C2214yes—
69C2×#14556548C2214yes—
70C2×C4⋊C4×D73C2214yes—
71#533×C73C22116yescomplemented
72C2×C4⋊Q8×C73C2212yes—
73C2×#125×C73C2212yes—
74C2×C22⋊Q8×C73C2212yes—
75C2×C22⋊Q8×C73C2212yes—
76C2×C4×Q8×C73C2212yes—
77C2×C4×Q8×C73C2212yes—
78C2×#117×C73C2211yescharacteristic
79C2×#117×C73C2211yescharacteristic
80C22×C42×C73C2211yescharacteristic
81C22×Dic146C2312yes—
82C22×Dic146C2314yes—
83C22×D292C2312yes—
84C22×D292C2314yes—
85C22×C22⋊D73C2314yes—
86C22×C4×D73C2314yes—
87C22×C4×D73C2314yes—
88C22×C4×D73C2314yes—
89#14556591C2318yes—
90#14556591C23116yes—
91#14556589C23132yes—
92#14556588C2318yes—
93#14556586C23132yes—
94#14556586C23132yes—
95#14556586C23132yes—
96#14556585C23132yes—
97#14556584C23132yes—
98#14556583C23116yes—
99#14556583C2318yes—
100#14556583C2318yes—
101#14556581C23132yes—
102#14556581C23132yes—
103#14556581C23132yes—
104#14556580C23132yes—
105#14556579C23116yes—
106#14556579C23116yes—
107#14556577C23132yes—
108#14556576C23132yes—
109#14556576C23132yes—
110#14556576C23132yes—
111#14556574C23132yes—
112#14556573C23132yes—
113#14556570C23116yes—
114#14556569C23132yes—
115#14556569C23132yes—
116#14556569C23132yes—
117#14556567C23132yes—
118#14556567C23132yes—
119#14556565C23116yes—
120#14556564C23132yes—
121C4×Dic146C23116yes—
122C4×Dic146C23116yes—
123C4×Dic146C23116yes—
124#14556556C23132yes—
125C4×D292C23116yes—
126C4×D292C23116yes—
127C4×D292C23116yes—
128#14556553C23132yes—
129C4×C22⋊D73C23132yes—
130#14556549C23132yes—
131#14556548C23132yes—
132C2×C4⋊Dic73C2314yes—
133C2×C4⋊Dic73C2314yes—
134C2×C4⋊Dic73C2312yes—
135C2×C4⋊Dic73C2312yes—
136C2×#11924007C2314yes—
137C2×#11924007C2314yes—
138C2×#11924007C2314yes—
139C2×#11924007C2314yes—
140C2×#11924007C2314yes—
141C2×#11924007C2314yes—
142C2×#11924007C2314yes—
143C2×#11924007C2314yes—
144C4⋊C4×D73C23132yes—
145C2×C22⋊Dic73C2314yes—
146C2×#11924005C2314yes—
147C2×#11924005C2314yes—
148C2×#11924005C2314yes—
149C2×#11924005C2314yes—
150C2×#11924005C2314yes—
151C2×#11924005C2314yes—
152C2×#11924005C2314yes—
153C2×#11924005C2314yes—
154C2×C4×Dic73C2314yes—
155C2×C4×Dic73C2314yes—
156C2×C4×Dic73C2314yes—
157C22×Q8×C73C2312yes—
158C22×Q8×C73C2312yes—
159C23×C4×C73C2311yescharacteristic
160C23×C4×C73C2312yes—
161C4⋊Q8×C73C23116yes—
162#125×C73C23116yes—
163C22⋊Q8×C73C23116yes—
164C22⋊Q8×C73C23116yes—
165C4×Q8×C73C23116yes—
166C4×Q8×C73C23116yes—
167#117×C73C2318yes—
168#117×C73C2318yes—
169C2×C4⋊C4×C73C2312yes—
170C2×C4⋊C4×C73C2312yes—
171C2×C4⋊C4×C73C2312yes—
172C2×C4⋊C4×C73C2312yes—
173C2×C4⋊C4×C73C2312yes—
174C2×C4⋊C4×C73C2312yes—
175C2×C4⋊C4×C73C2312yes—
176C2×C4⋊C4×C73C2312yes—
177C2×C22⋊C4×C73C2312yes—
178C2×C22⋊C4×C73C2311yescharacteristic
179C2×C22⋊C4×C73C2311yescharacteristic
180C2×C42×C73C2318yes—
181C2×C42×C73C2311yescharacteristic
182C2×C42×C73C2311yescharacteristic
183C2×C42×C73C2312yes—
184C2×C42×C73C2312yes—
185C2×C42×C73C2311yescharacteristic
186C2×C42×C73C2311yescharacteristic
187C23×D73C2414yes—
188C2×Dic146—28no—
189C2×Dic146—48no—
190C2×Dic146C2418yes—
191C2×Dic146C24116yes—
192C2×D292—28no—
193C2×D292—48no—
194C2×D292C2418yes—
195C2×D292C24116yes—
196C2×C22⋊D73—48no—
197C2×C22⋊D73C24116yes—
198C22×Dic73C2414yes—
199C22×Dic73C2414yes—
200C22×Dic73C2414yes—
201C2×C4×D73—48no—
202C2×C4×D73—48no—
203C2×C4×D73—48no—
204C2×C4×D73C24116yes—
205C2×C4×D73C24116yes—
206C2×C4×D73C24116yes—
207C4⋊Dic73C24116yes—
208C4⋊Dic73C24116yes—
209C4⋊Dic73C2418yes—
210C4⋊Dic73C2418yes—
211#11924007C24116yes—
212#11924007C24116yes—
213#11924007C24116yes—
214#11924007C24116yes—
215#11924007C24116yes—
216#11924007C24116yes—
217#11924007C24116yes—
218#11924007C24116yes—
219C22⋊Dic73C24116yes—
220#11924005C24116yes—
221#11924005C24116yes—
222#11924005C24116yes—
223#11924005C24116yes—
224#11924005C24116yes—
225#11924005C24116yes—
226#11924005C24116yes—
227#11924005C24116yes—
228C4×Dic73C24116yes—
229C4×Dic73C24116yes—
230C4×Dic73C24116yes—
231C24×C73C2411yescharacteristic
232C2×Q8×C73—44no—
233C2×Q8×C73—44no—
234C2×Q8×C73C2418yes—
235C2×Q8×C73C2418yes—
236C22×C4×C73—24no—
237C22×C4×C73—44no—
238C22×C4×C73C2412yes—
239C22×C4×C73C2411yescharacteristic
240C22×C4×C73C2412yes—
241C22×C4×C73C2414yes—
242C22×C4×C73C2412yes—
243C22×C4×C73C2412yes—
244C22×C4×C73C2412yes—
245C22×C4×C73C2412yes—
246C22×C4×C73C2418yes—
247C22×C4×C73C2411yescharacteristic
248C4⋊C4×C73C2418yes—
249C4⋊C4×C73C2418yes—
250C4⋊C4×C73C2418yes—
251C4⋊C4×C73C2418yes—
252C4⋊C4×C73C2418yes—
253C4⋊C4×C73C2418yes—
254C4⋊C4×C73C2418yes—
255C4⋊C4×C73C2418yes—
256C22⋊C4×C73C2418yes—
257C22⋊C4×C73C2414yes—
258C22⋊C4×C73C2414yes—
259C42×C73C2418yes—
260C42×C73C2414yes—
261C42×C73C2414yes—
262C42×C73C2414yes—
263C42×C73C2418yes—
264C42×C73C2414yes—
265C23×C73—22no—
266C23×C73—24no—
267C23×C73C2512yes—
268C23×C73C2511yescharacteristic
269C22×D73—28no—
270C22×D73—28no—
271C22×D73—28no—
272C22×D73C2518yes—
273Q8×C73—48no—
274Q8×C73—48no—
275C2×C4×C73—22no—
276C2×C4×C73—24no—
277C2×C4×C73—24no—
278C2×C4×C73—24no—
279C2×C4×C73—24no—
280C2×C4×C73—24no—
281C2×C4×C73—24no—
282C2×C4×C73—28no—
283C2×C4×C73—48no—
284C2×C4×C732−1+414yes—
285C2×C4×C73C2514yes—
286C2×C4×C73C2512yes—
287C2×C4×C73C2514yes—
288C2×C4×C73C2514yes—
289C2×C4×C73C2514yes—
290C2×C4×C73C2514yes—
291C2×C4×C73C2514yes—
292C2×C4×C73C2512yes—
293C22⋊D73—416no—
294C2×Dic73—28no—
295C2×Dic73—28no—
296C2×Dic73—28no—
297C2×Dic73C2518yes—
298C2×Dic73C2518yes—
299C2×Dic73C2518yes—
300D292—216no—
301D292—416no—
302C4×D73—416no—
303C4×D73—416no—
304C4×D73—416no—
305Dic146—216no—
306Dic146—416no—
307C22×C73—22no—
308C22×C73—24no—
309C22×C73—44no—
310C22×C73C2×2−1+412yes—
311C22×C73#58514yes—
312C22×C73C2611yescharacteristic
313C2×D73—28no—
314C2×D73—28no—
315C2×D73—28no—
316C2×D73—416no—
317C4×C73—22no—
318C4×C73—24no—
319C4×C73—24no—
320C4×C73—24no—
321C4×C73—24no—
322C4×C73—24no—
323C4×C73—24no—
324C4×C73C2×2−1+414yes—
325Dic73—28no—
326Dic73—28no—
327Dic73—28no—
328C2×#3557—731nomaximal, Sylow
329C2×C73—42no—
330C2×C73#355714yescomplemented
331C2×C73C22×2−1+411yescharacteristic
332C2×C73C2×#58512yes—
333D73—48no—
334#3557—7332no—
335C2×#563—734no—
336C2×#559—732no—
337C2×#557—732no—
338C2×#556—732no—
339C2×#554—732no—
340C2×#552—734no—
341C2×#542—734no—
342C2×#542—732no—
343C2×#541—731no—
344C2×#540—731no—
345C2×#539—734no—
346C2×#533D7311yescharacteristic, complemented
347C2×#529—732no—
348C73C2×#355711yescharacteristic, complemented, Sylow
349#563—7364no—
350#559—7332no—
351#557—7332no—
352#556—7332no—
353#554—7332no—
354#552—7364no—
355#542—7364no—
356#542—7332no—
357#541—7316no—
358#540—7316no—
359#539—7364no—
360#533C2×D73116yescomplemented
361C2×C4⋊Q8—734no—
362C2×C4⋊Q8—731no—
363C2×C4⋊Q8—732no—
364C2×C4⋊Q8C2×D7312yes—
365C2×#127—731no—
366#529—7332no—
367C2×#126—734no—
368C2×#126—734no—
369C2×#126—734no—
370C2×#126—734no—
371C2×#126—734no—
372C2×#125—734no—
373C2×#125—734no—
374C2×#125—734no—
375C2×#125—732no—
376C2×#125—731no—
377C2×#125—731no—
378C2×#125C2×D7312yes—
379C2×#124—734no—
380C2×#124—734no—
381C2×#124—732no—
382C2×#124—732no—
383C2×#123—734no—
384C2×#123—734no—
385C2×#123—734no—
386C2×#123—734no—
387C2×#123—734no—
388C2×C22⋊Q8—734no—
389C2×C22⋊Q8—734no—
390C2×C22⋊Q8—732no—
391C2×C22⋊Q8—734no—
392C2×C22⋊Q8—734no—
393C2×C22⋊Q8—734no—
394C2×C22⋊Q8C2×D7312yes—
395C2×C22⋊Q8C2×D7312yes—
396C2×#121—732no—
397C2×#121—734no—
398C2×C4×Q8—734no—
399C2×C4×Q8—732no—
400C2×C4×Q8—732no—
401C2×C4×Q8—732no—
402C2×C4×Q8C2×D7312yes—
403C2×C4×Q8C2×D7312yes—
404C2×C4×D4—734no—
405C2×C4×D4—734no—
406C2×C4×D4—732no—
407C2×C4×D4—732no—
408C2×C4×D4—732no—
409C2×#117—734no—
410C2×#117—734no—
411C2×#117C2×D7311yescharacteristic
412C2×#117C2×D7311yescharacteristic
413C22×C4⋊C4—734no—
414C22×C42C2×D7311yescharacteristic
415C22×Q8—734no—
416C22×Q8—732no—
417C22×Q8C22×D7312yes—
418C22×Q8C22×D7312yes—
419C22×D4—734no—
420C22×D4—734no—
421C22×D4—732no—
422C23×C4—734no—
423C23×C4—734no—
424C23×C4—734no—
425C23×C4C22×D7311yescharacteristic
426C23×C4C22×D7312yes—
427C4⋊Q8—7332no—
428C4⋊Q8—738no—
429C4⋊Q8—7316no—
430C4⋊Q8C22×D73116yes—
431#127—738no—
432#126—7332no—
433#126—7332no—
434#126—7332no—
435#126—7332no—
436#126—7332no—
437#125—7332no—
438#125—7332no—
439#125—7332no—
440#125—7316no—
441#125—738no—
442#125—738no—
443#125C22×D73116yes—
444#124—7332no—
445#124—7332no—
446#124—7316no—
447#124—7316no—
448#123—7332no—
449#123—7332no—
450#123—7332no—
451#123—7332no—
452#123—7332no—
453C22⋊Q8—7332no—
454C22⋊Q8—7332no—
455C22⋊Q8—7316no—
456C22⋊Q8—7332no—
457C22⋊Q8—7332no—
458C22⋊Q8—7332no—
459C22⋊Q8C22×D73116yes—
460C22⋊Q8C22×D73116yes—
461#121—7316no—
462#121—7332no—
463C4×Q8—7332no—
464C4×Q8—7316no—
465C4×Q8—7316no—
466C4×Q8—7316no—
467C4×Q8C22×D73116yes—
468C4×Q8C22×D73116yes—
469C4×D4—7332no—
470C4×D4—7332no—
471C4×D4—7316no—
472C4×D4—7316no—
473C4×D4—7316no—
474#117—7332no—
475#117—7332no—
476#117C22×D7318yes—
477#117C22×D7318yes—
478C2×C4⋊C4—734no—
479C2×C4⋊C4—734no—
480C2×C4⋊C4—734no—
481C2×C4⋊C4—734no—
482C2×C4⋊C4—734no—
483C2×C4⋊C4—732no—
484C2×C4⋊C4—732no—
485C2×C4⋊C4—734no—
486C2×C4⋊C4—734no—
487C2×C4⋊C4—734no—
488C2×C4⋊C4—734no—
489C2×C4⋊C4—734no—
490C2×C4⋊C4—7332no—
491C2×C4⋊C4C22×D7312yes—
492C2×C4⋊C4C22×D7312yes—
493C2×C4⋊C4C22×D7312yes—
494C2×C4⋊C4C22×D7312yes—
495C2×C4⋊C4C22×D7312yes—
496C2×C4⋊C4C22×D7312yes—
497C2×C4⋊C4C22×D7312yes—
498C2×C4⋊C4C22×D7312yes—
499C2×C22⋊C4—734no—
500C2×C22⋊C4—734no—
501C2×C22⋊C4—734no—
502C2×C22⋊C4—734no—
503C2×C22⋊C4—734no—
504C2×C22⋊C4—734no—
505C2×C22⋊C4—734no—
506C2×C22⋊C4—734no—
507C2×C22⋊C4—734no—
508C2×C22⋊C4C22×D7312yes—
509C2×C22⋊C4C22×D7311yescharacteristic
510C2×C22⋊C4C22×D7311yescharacteristic
511C2×C42—734no—
512C2×C42—734no—
513C2×C42—734no—
514C2×C42C22×D7311yescharacteristic
515C2×C42C22×D7311yescharacteristic
516C2×C42C22×D7312yes—
517C2×C42C22×D7311yescharacteristic
518C2×C42C22×D7312yes—
519C2×C42C22×D7311yescharacteristic
520C2×C42C22×D7318yes—
521C24—734no—
522C24C23×D7311yescharacteristic
523C2×Q8—44no—
524C2×Q8—44no—
525C2×Q8—2928no—
526C2×Q8—7316no—
527C2×Q8—738no—
528C2×Q8—1468no—
529C2×Q8C23×D7318yes—
530C2×Q8C23×D7318yes—
531C2×D4—2928no—
532C2×D4—2928no—
533C2×D4—7316no—
534C2×D4—7316no—
535C2×D4—738no—
536C2×D4—1468no—
537C22×C4—24no—
538C22×C4—44no—
539C22×C4—2928no—
540C22×C4—2928no—
541C22×C4—2928no—
542C22×C4—7316no—
543C22×C4—7316no—
544C22×C4—7316no—
545C22×C4—734no—
546C22×C4—734no—
547C22×C4—734no—
548C22×C4C23×D7314yes—
549C22×C4C23×D7312yes—
550C22×C4C23×D7312yes—
551C22×C4C23×D7312yes—
552C22×C4C23×D7311yescharacteristic
553C22×C4C23×D7312yes—
554C22×C4C23×D7312yes—
555C22×C4C23×D7312yes—
556C22×C4C23×D7318yes—
557C22×C4C23×D7311yescharacteristic
558C4⋊C4—7316no—
559C4⋊C4—7316no—
560C4⋊C4—7316no—
561C4⋊C4—7316no—
562C4⋊C4—7316no—
563C4⋊C4—7316no—
564C4⋊C4—7316no—
565C4⋊C4—7316no—
566C4⋊C4—7316no—
567C4⋊C4—7316no—
568C4⋊C4—738no—
569C4⋊C4—738no—
570C4⋊C4C23×D7318yes—
571C4⋊C4C23×D7318yes—
572C4⋊C4C23×D7318yes—
573C4⋊C4C23×D7318yes—
574C4⋊C4C23×D7318yes—
575C4⋊C4C23×D7318yes—
576C4⋊C4C23×D7318yes—
577C4⋊C4C23×D7318yes—
578C22⋊C4—7316no—
579C22⋊C4—7316no—
580C22⋊C4—7316no—
581C22⋊C4—7316no—
582C22⋊C4—7316no—
583C22⋊C4—7316no—
584C22⋊C4—7316no—
585C22⋊C4—7316no—
586C22⋊C4—7316no—
587C22⋊C4C23×D7318yes—
588C22⋊C4C23×D7314yes—
589C22⋊C4C23×D7314yes—
590C42—7316no—
591C42—7316no—
592C42—7316no—
593C42C23×D7314yes—
594C42C23×D7318yes—
595C42C23×D7314yes—
596C42C23×D7314yes—
597C42C23×D7318yes—
598C42C23×D7314yes—
599C23—22no—
600C23—24no—
601C23—738no—
602C23—1468no—
603C23—1468no—
604C23—1468no—
605C23C24×D7312yes—
606C23C24×D7311yescharacteristic
607Q8—48no—
608Q8—48no—
609Q8—29216no—
610Q8—14616no—
611D4—29216no—
612D4—29216no—
613D4—14616no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—28no—
622C2×C4—48no—
623C2×C4—29216no—
624C2×C4—29216no—
625C2×C4—29216no—
626C2×C4—738no—
627C2×C4—738no—
628C2×C4—738no—
629C2×C4—1468no—
630C2×C4—1468no—
631C2×C4—1468no—
632C2×C4#1455663914yes—
633C2×C4C24×D7314yes—
634C2×C4C24×D7314yes—
635C2×C4C24×D7314yes—
636C2×C4C24×D7312yes—
637C2×C4C24×D7314yes—
638C2×C4C24×D7314yes—
639C2×C4C24×D7314yes—
640C2×C4C24×D7312yes—
641C22—22no—
642C22—24no—
643C22—44no—
644C22—29216no—
645C22—1468no—
646C22—1468no—
647C22—1468no—
648C22C2×#1455663912yes—
649C22#1798942314yes—
650C22C25×D7311yescharacteristic
651C4—22no—
652C4—24no—
653C4—24no—
654C4—24no—
655C4—24no—
656C4—24no—
657C4—24no—
658C4—1468no—
659C4—1468no—
660C4—1468no—
661C4C2×#1455663914yes—
662C2—42no—
663C2—2928no—
664C2#2262443714yesdirect product factor
665C2C22×#1455663911yescharacteristic
666C2C2×#1798942312yes—
subgroupG/H
centerC23C24×D73
commutator, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC2×#533×C73C2
socleC23×C73C25
prime radicalC2×#17989192C2
hypercenterC2×#533D73
hypocenterC73C2×#3557
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#533

Complements

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

NH ≅ G/Ntype
1. #22624437C2direct (N × H)
2. C2×#17989336C2semidirect
3. C2×#17989322C2semidirect
4. C2×#17989315C2semidirect
5. C2×#17989310C2semidirect
6. C2×#17989297C2semidirect
7. C2×#17989269C2semidirect
8. C2×#17989208C2semidirect
9. C2×#17989207C2semidirect
10. C2×#17989199C2semidirect
12. C2×#17989183C2semidirect
13. C2×#17989121C2semidirect
14. C2×#533×C73C2semidirect
15. #17989336C22semidirect
16. #17989322C22semidirect
17. #17989315C22semidirect
18. #17989310C22semidirect
19. #17989297C22semidirect
20. #17989269C22semidirect
21. #17989208C22semidirect
22. #17989207C22semidirect
23. #17989199C22semidirect
25. #17989183C22semidirect
30. #17989121C22semidirect
71. #533×C73C22semidirect
330. C2×C73#3557semidirect
346. C2×#533D73semidirect
348. C73C2×#3557semidirect
360. #533C2×D73semidirect
664. C2#22624437direct (N × H)

Maximal subgroups

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

subgroupindex
#226244372
C2×#179893362
C2×#179893222
C2×#179893152
C2×#179893102
C2×#179892972
C2×#179892692
C2×#179892082
C2×#179892072
C2×#179891992
C2×#179891922
C2×#179891832
C2×#179891212
C2×#533×C732
C2×#355773