Finite Group Databasebeta

← C2×#22622881 #33966516

Subgroups — C2×#22622881 #33966516

Order 18688.

1822 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989313C211yesmaximal, characteristic, complemented
2C2×#17989294C211yesmaximal, characteristic
3#22622881C2116yesmaximal, direct product factor
4C2×#17988996C211yesmaximal, characteristic, complemented
5C2×#17988995C211yesmaximal, characteristic, complemented
6C2×#17988988C211yesmaximal, characteristic, complemented
7C2×#17988896C211yesmaximal, characteristic, complemented
8C2×#17988892C211yesmaximal, characteristic, complemented
9C2×#17988872C211yesmaximal, characteristic, complemented
10C2×#17988887C211yesmaximal, characteristic
11C2×#17988885C211yesmaximal, characteristic
12C2×#17988875C211yesmaximal, characteristic
13C2×#17988715C211yesmaximal, characteristic, complemented
14C2×#17988688C211yesmaximal, characteristic
15C2×SD16×Dic73C211yesmaximal, characteristic
16C2×#440×C73C211yesmaximal, characteristic
17#17989313—24no—
18#17989313C2218yescomplemented
19#17989294—24no—
20#17989294C2218yes—
21C2×#14556591C2211yescharacteristic
22C2×#14556590—21no—
23C2×#14556590C2211yescharacteristic
24C2×#14556583—21no—
25C2×#14556583C2211yescharacteristic
26C2×#14556582—21no—
27C2×#14556582C2211yescharacteristic
28C2×#14556582C2211yescharacteristic
29C2×#14556582C2211yescharacteristic
30C2×#14556570—21no—
31C2×#14556568—21no—
32C2×#14556568—21no—
33C2×Q8×Dic73C2211yescharacteristic
34C2×Q8×Dic73C2211yescharacteristic
35C2×C4×Dic146—21no—
36C2×C4×Dic146C2211yescharacteristic
37C2×D4×Dic73C2211yescharacteristic
38C2×D4×Dic73C2211yescharacteristic
39C22×C4⋊Dic73—21no—
40#17988996C2218yescomplemented
41#17988995C2218yescomplemented
42#17988988C2218yescomplemented
43#17988896C2218yescomplemented
44#17988892C2218yescomplemented
45#17988887C2218yes—
46#17988885C2218yes—
47#17988875C2218yes—
48#17988872C2218yescomplemented
49#17988715C2218yescomplemented
50#17988688C2218yes—
51SD16×Dic73C2218yes—
52C2×#14556525C2211yescharacteristic
53C2×#14556525C2211yescharacteristic
54C2×#14556524C2211yescharacteristic
55C2×#14556523C2211yescharacteristic
56C2×#14556523C2211yescharacteristic
57C2×#14556522C2211yescharacteristic
58C2×#14556522C2211yescharacteristic
59C2×#14556522C2211yescharacteristic
60C2×C4⋊#10596831C2211yescharacteristic
61C2×#14556520C2211yescharacteristic
62C2×#14556520C2211yescharacteristic
63C2×#14556515C2211yescharacteristic
64C2×#14556515C2211yescharacteristic
65C2×#14556512C2211yescharacteristic
66C2×#14556512C2211yescharacteristic
67C2×#14556501C2211yescharacteristic
68C2×C8×Dic73C2211yescharacteristic
69C22×SD16×C73C2211yescharacteristic
70C2×C4×Q8×C73C2211yescharacteristic
71C2×C4×D4×C73C2211yescharacteristic
72#440×C73C2218yes—
73C2×#107×C73C2211yescharacteristic
74C2×#103×C73C2211yescharacteristic
75C2×#102×C73C2211yescharacteristic
76C2×#97×C73C2211yescharacteristic
77C22×Dic146—21no—
78C22×Dic146—21no—
79C22×Dic146D411yescharacteristic
80C23×Dic73—21no—
81C23×Dic73—21no—
82C22×#10596831C2311yescharacteristic
83C22×#10596831C2311yescharacteristic
84#14556591—22no—
85#14556591C2314yes—
86#14556590—28no—
87#14556590—22no—
88#14556590C2314yes—
89#14556583—28no—
90#14556583—22no—
91#14556583C2314yes—
92#14556582—28no—
93#14556582—22no—
94#14556582—22no—
95#14556582—22no—
96#14556582C2314yes—
97#14556582C2314yes—
98#14556582C2314yes—
99#14556570—28no—
100#14556568—28no—
101#14556568—28no—
102Q8×Dic73—22no—
103Q8×Dic73—22no—
104Q8×Dic73C2314yes—
105Q8×Dic73C2314yes—
106C4×Dic146—28no—
107C4×Dic146D414yes—
108C4×Dic146C2314yes—
109D4×Dic73—22no—
110D4×Dic73—22no—
111D4×Dic73C2314yes—
112D4×Dic73C2314yes—
113C2×C4⋊Dic73—21no—
114C2×C4⋊Dic73—21no—
115C2×C4⋊Dic73—21no—
116C2×C4⋊Dic73—21no—
117C2×C4⋊Dic73—21no—
118C2×C4⋊Dic73—28no—
119C2×C4⋊Dic73—21no—
120C2×C4⋊Dic73D411yescharacteristic
121C2×C4⋊Dic73C2311yescharacteristic
122C2×C4⋊Dic73C2311yescharacteristic
123C2×C4⋊Dic73C2311yescharacteristic
124C2×C4⋊Dic73C2311yescharacteristic
125C2×#11924007—21no—
126C2×#11924007—21no—
127C2×#11924007—21no—
128C2×#11924007—21no—
129C2×#11924007—21no—
130C2×#11924007—21no—
131C2×#11924007D411yescharacteristic
132C2×#11924007D411yescharacteristic
133C2×C22⋊Dic73—21no—
134C2×C22⋊Dic73—21no—
135C2×C4×Dic73—21no—
136C2×C4×Dic73—21no—
137C2×C4×Dic73C2311yescharacteristic
138C2×C4×Dic73C2311yescharacteristic
139#14556525C2314yes—
140#14556525C2314yes—
141#14556524C2314yes—
142#14556523C2314yes—
143#14556523C2314yes—
144#14556522C2314yes—
145#14556522C2314yes—
146#14556522C2314yes—
147C4⋊#10596831C2314yes—
148#14556520C2314yes—
149#14556520C2314yes—
150#14556515C2314yes—
151#14556515C2314yes—
152#14556512C2314yes—
153#14556512C2314yes—
154#14556501C2314yes—
155C8×Dic73C2314yes—
156C22×Q8×C73C2311yescharacteristic
157C22×D4×C73C2311yescharacteristic
158C23×C4×C73—21no—
159C2×SD16×C73Q818yescomplemented
160C2×SD16×C73C2314yes—
161C22×C8×C73C2311yescharacteristic
162C22×C8×C73C2311yescharacteristic
163C4×Q8×C73—22no—
164C4×Q8×C73C2314yes—
165C4×D4×C73—22no—
166C4×D4×C73C2314yes—
167C2×C4⋊C4×C73—21no—
168C2×C4⋊C4×C73C2311yescharacteristic
169C2×C4⋊C4×C73C2311yescharacteristic
170C2×C22⋊C4×C73—21no—
171C2×C42×C73—21no—
172C2×C42×C73C2311yescharacteristic
173#107×C73C2314yes—
174#103×C73C2314yes—
175#102×C73C2314yes—
176#97×C73C2314yes—
177C2×Dic146—24no—
178C2×Dic146—24no—
179C2×Dic146—42no—
180C2×Dic146—44no—
181C2×Dic146—82no—
182C2×Dic146C2×D414yes—
183C22×Dic73—21no—
184C22×Dic73—21no—
185C22×Dic73—21no—
186C22×Dic73—21no—
187C22×Dic73—24no—
188C22×Dic73—24no—
189C22×Dic73—82no—
190C22×Dic73—82no—
191C22×Dic73C2×D411yescharacteristic
192C22×Dic73C2×D411yescharacteristic
193C22×Dic73C2×D411yescharacteristic
194C22×Dic73C2×D411yescharacteristic
195C2×#10596831—22no—
196C2×#10596831—22no—
197C2×#10596831C2412yes—
198C2×#10596831C2412yes—
199C4⋊Dic73—24no—
200C4⋊Dic73—21no—
201C4⋊Dic73—21no—
202C4⋊Dic73—21no—
203C4⋊Dic73—21no—
204C4⋊Dic73—24no—
205C4⋊Dic73—24no—
206C4⋊Dic73—24no—
207C4⋊Dic73—24no—
208C4⋊Dic73—24no—
209C4⋊Dic73C2×D414yes—
210C4⋊Dic73C2412yes—
211C4⋊Dic73C2412yes—
212C4⋊Dic73C2412yes—
213C4⋊Dic73C2412yes—
214#11924007—24no—
215#11924007—24no—
216#11924007—24no—
217#11924007—24no—
218#11924007—24no—
219#11924007—24no—
220#11924007C2×D414yes—
221#11924007C2×D414yes—
222C22⋊Dic73—24no—
223C22⋊Dic73—24no—
224C4×Dic73—24no—
225C4×Dic73—24no—
226C4×Dic73C2×D412yes—
227C4×Dic73C2×D412yes—
228C4×Dic73C2412yes—
229C4×Dic73C2412yes—
230C24×C73—21no—
231C2×Q8×C73—21no—
232C2×Q8×C73—22no—
233C2×Q8×C73C2×Q814yes—
234C2×Q8×C73C2412yes—
235C2×D4×C73—21no—
236C2×D4×C73—22no—
237C2×D4×C73C2×Q814yes—
238C2×D4×C73C2412yes—
239C22×C4×C73—21no—
240C22×C4×C73—21no—
241C22×C4×C73—21no—
242C22×C4×C73—24no—
243C22×C4×C73—44no—
244C22×C4×C73C2×D411yescharacteristic
245C22×C4×C73C2×D411yescharacteristic
246C22×C4×C73C2411yescharacteristic
247SD16×C73C2×Q8116yescomplemented
248C2×C8×C73—22no—
249C2×C8×C73C2×Q814yes—
250C2×C8×C73C2412yes—
251C2×C8×C73C2412yes—
252C4⋊C4×C73—24no—
253C4⋊C4×C73—21no—
254C4⋊C4×C73—21no—
255C4⋊C4×C73C2412yes—
256C4⋊C4×C73C2412yes—
257C22⋊C4×C73—24no—
258C42×C73—24no—
259C42×C73C2×D412yes—
260C42×C73C2412yes—
261C23×C73—24no—
262C23×C73—22no—
263C23×C73—42no—
264C23×C73—42no—
265C23×C73C22×D411yescharacteristic
266Q8×C73—24no—
267Q8×C73—22no—
268Q8×C73C22×Q814yes—
269D4×C73—24no—
270D4×C73—22no—
271D4×C73C22×Q814yes—
272C2×C4×C73—24no—
273C2×C4×C73—22no—
274C2×C4×C73—22no—
275C2×C4×C73—22no—
276C2×C4×C73—22no—
277C2×C4×C73—22no—
278C2×C4×C73—48no—
279C2×C4×C73—42no—
280C2×C4×C73—42no—
281C2×C4×C73C22×D412yes—
282C2×C4×C73C22×D412yes—
283C2×C4×C73C22×D411yescharacteristic
284C2×C4×C73C22×Q812yes—
285C2×C4×C732−1+412yes—
286C2×C4×C73C2511yescharacteristic
287C2×Dic73—22no—
288C2×Dic73—22no—
289C2×Dic73—22no—
290C2×Dic73—22no—
291C2×Dic73—22no—
292C2×Dic73—22no—
293C2×Dic73—22no—
294C2×Dic73—22no—
295C2×Dic73—42no—
296C2×Dic73—42no—
297C2×Dic73—42no—
298C2×Dic73—42no—
299C2×Dic73—84no—
300C2×Dic73—84no—
301C2×Dic73C22×D412yes—
302C2×Dic73C22×D412yes—
303C2×Dic73C22×D412yes—
304C2×Dic73C22×D412yes—
305Dic146—44no—
306Dic146—48no—
307Dic146—84no—
308C8×C73—22no—
309C8×C73C22×Q814yes—
310#10596831—22no—
311#10596831—22no—
312C22×C73—24no—
313C22×C73—48no—
314C22×C73—42no—
315C22×C73—42no—
316C22×C73D4×Q812yes—
317C22×C73#57512yes—
318C22×C73#57712yes—
319C22×C73C23×D411yescharacteristic
320C4×C73—24no—
321C4×C73—22no—
322C4×C73—22no—
323C4×C73—42no—
324C4×C73—42no—
325C4×C73D4×Q812yes—
326C4×C73C23×Q811yescharacteristic
327C4×C73C2×2−1+411yescharacteristic
328Dic73—22no—
329Dic73—22no—
330Dic73—22no—
331Dic73—22no—
332Dic73—42no—
333Dic73—42no—
334Dic73—42no—
335Dic73—42no—
336C2×#3388—731nomaximal, Sylow
337C2×C73—44no—
338C2×C73#338814yescomplemented
339C2×C73C2×D4×Q811yescharacteristic
340C2×C73C2×#57511yescharacteristic
341C2×C73C2×#57711yescharacteristic
342C2×#557—731no—
343C2×#554—731no—
344#3388—7316no—
345C2×#501—731no—
346C2×#501—731no—
347C2×#499—731no—
348C2×#479—731no—
349C2×#479—731no—
350C2×#475—731no—
351C2×#478—731no—
352C2×#478—731no—
353C2×#476—731no—
354C2×#446—731no—
355C2×#440—731no—
356C2×#440D7311yescharacteristic
357C2×C4×SD16—731no—
358C73C2×#338811yescharacteristic, complemented, Sylow
359C22×SD16C2×D7311yescharacteristic
360#557—738no—
361#557—1464no—
362#554—738no—
363#554—1464no—
364C2×C4⋊Q8—731no—
365C2×C4⋊Q8—731no—
366C2×C4⋊Q8—1461no—
367C2×#125—731no—
368C2×#125—731no—
369C2×#125—731no—
370C2×#125—731no—
371C2×#125—1461no—
372C2×#125—1461no—
373C2×C22⋊Q8—1461no—
374C2×C22⋊Q8—1461no—
375C2×C22⋊Q8—1461no—
376C2×C4×Q8—731no—
377C2×C4×Q8—731no—
378C2×C4×Q8—731no—
379C2×C4×Q8—1461no—
380C2×C4×Q8C2×D7311yescharacteristic
381C2×C4×D4—731no—
382C2×C4×D4—731no—
383C2×C4×D4C2×D7311yescharacteristic
384C22×C4⋊C4—1461no—
385#501—738no—
386#501—738no—
387#499—738no—
388#479—738no—
389#479—738no—
390#478—738no—
391#478—738no—
392#476—738no—
393#475—738no—
394#446—738no—
395#440—738no—
396#440C2×D7318yes—
397C4×SD16—738no—
398C2×#107—731no—
399C2×#107—731no—
400C2×#107—731no—
401C2×#107C2×D7311yescharacteristic
402C2×#106—731no—
403C2×#106—731no—
404C2×#106—731no—
405C2×#106—731no—
406C2×#106—731no—
407C2×C4⋊C8—731no—
408C2×C4⋊C8—731no—
409C2×C4⋊C8—731no—
410C2×#103—731no—
411C2×#103—731no—
412C2×#103C2×D7311yescharacteristic
413C2×#102—731no—
414C2×#102—731no—
415C2×#102C2×D7311yescharacteristic
416C2×#97—731no—
417C2×#97C2×D7311yescharacteristic
418C2×C4×C8—731no—
419C22×Q8—731no—
420C22×Q8—1461no—
421C22×Q8—1461no—
422C22×Q8C22×D7311yescharacteristic
423C22×D4C22×D7311yescharacteristic
424C23×C4—21no—
425C23×C4—1461no—
426C23×C4—1461no—
427C2×SD16Dic14618yescomplemented
428C2×SD16C22×D7314yes—
429C22×C8—731no—
430C22×C8—731no—
431C22×C8C22×D7311yescharacteristic
432C22×C8C22×D7311yescharacteristic
433C4⋊Q8—734no—
434C4⋊Q8—734no—
435C4⋊Q8—1462no—
436C4⋊Q8—1468no—
437C4⋊Q8—1462no—
438#125—734no—
439#125—734no—
440#125—734no—
441#125—734no—
442#125—1468no—
443#125—1462no—
444#125—1462no—
445#125—1462no—
446#125—1468no—
447#125—1462no—
448C22⋊Q8—1468no—
449C22⋊Q8—1468no—
450C22⋊Q8—1468no—
451C4×Q8—22no—
452C4×Q8—734no—
453C4×Q8—734no—
454C4×Q8—734no—
455C4×Q8—734no—
456C4×Q8—1468no—
457C4×Q8—1462no—
458C4×Q8—1462no—
459C4×Q8C22×D7314yes—
460C4×D4—22no—
461C4×D4—734no—
462C4×D4—734no—
463C4×D4—1462no—
464C4×D4—1462no—
465C4×D4C22×D7314yes—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—731no—
468C2×C4⋊C4—731no—
469C2×C4⋊C4—731no—
470C2×C4⋊C4—731no—
471C2×C4⋊C4—731no—
472C2×C4⋊C4—731no—
473C2×C4⋊C4—731no—
474C2×C4⋊C4—1468no—
475C2×C4⋊C4—1461no—
476C2×C4⋊C4—1461no—
477C2×C4⋊C4—1461no—
478C2×C4⋊C4—1461no—
479C2×C4⋊C4—1461no—
480C2×C4⋊C4—1461no—
481C2×C4⋊C4—1461no—
482C2×C4⋊C4—1461no—
483C2×C4⋊C4—1461no—
484C2×C4⋊C4—1461no—
485C2×C4⋊C4—1461no—
486C2×C4⋊C4—1461no—
487C2×C4⋊C4C22×D7311yescharacteristic
488C2×C4⋊C4C22×D7311yescharacteristic
489C2×C22⋊C4—21no—
490C2×C22⋊C4—1461no—
491C2×C22⋊C4—1461no—
492C2×C42—21no—
493C2×C42—731no—
494C2×C42—731no—
495C2×C42—1461no—
496C2×C42—1461no—
497C2×C42C22×D7311yescharacteristic
498#107—734no—
499#107—734no—
500#107—734no—
501#107C22×D7314yes—
502#106—734no—
503#106—734no—
504#106—734no—
505#106—734no—
506#106—734no—
507C4⋊C8—734no—
508C4⋊C8—734no—
509C4⋊C8—734no—
510#103—734no—
511#103—734no—
512#103C22×D7314yes—
513#102—734no—
514#102—734no—
515#102C22×D7314yes—
516#97—734no—
517#97C22×D7314yes—
518C4×C8—734no—
519C24—21no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—2922no—
523C2×Q8—2924no—
524C2×Q8—5842no—
525C2×Q8—734no—
526C2×Q8—1464no—
527C2×Q8—1464no—
528C2×Q8C2×Dic14614yes—
529C2×Q8C23×D7312yes—
530C2×D4—21no—
531C2×D4—22no—
532C2×D4C2×Dic14614yes—
533C2×D4C23×D7312yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—24no—
538C22×C4—44no—
539C22×C4—5842no—
540C22×C4—5842no—
541C22×C4—731no—
542C22×C4—731no—
543C22×C4—731no—
544C22×C4—731no—
545C22×C4—1461no—
546C22×C4—1461no—
547C22×C4—1461no—
548C22×C4—1461no—
549C22×C4—1464no—
550C22×C4—1464no—
551C22×C4D4×D7311yescharacteristic
552C22×C4D4×D7311yescharacteristic
553C22×C4C23×D7311yescharacteristic
554SD16C2×Dic146116yescomplemented
555C2×C8—22no—
556C2×C8—732no—
557C2×C8—732no—
558C2×C8—1462no—
559C2×C8—1462no—
560C2×C8C2×Dic14614yes—
561C2×C8C23×D7312yes—
562C2×C8C23×D7312yes—
563C4⋊C4—24no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—734no—
567C4⋊C4—734no—
568C4⋊C4—734no—
569C4⋊C4—732no—
570C4⋊C4—732no—
571C4⋊C4—732no—
572C4⋊C4—732no—
573C4⋊C4—1464no—
574C4⋊C4—1464no—
575C4⋊C4—1464no—
576C4⋊C4—1464no—
577C4⋊C4—1464no—
578C4⋊C4—1464no—
579C4⋊C4—1464no—
580C4⋊C4—1464no—
581C4⋊C4—1464no—
582C4⋊C4—1464no—
583C4⋊C4—1464no—
584C4⋊C4—1461no—
585C4⋊C4—1461no—
586C4⋊C4—1461no—
587C4⋊C4—1461no—
588C4⋊C4—1464no—
589C4⋊C4C23×D7312yes—
590C4⋊C4C23×D7312yes—
591C22⋊C4—24no—
592C22⋊C4—1464no—
593C22⋊C4—1464no—
594C42—24no—
595C42—732no—
596C42—732no—
597C42—732no—
598C42—732no—
599C42—1464no—
600C42—1464no—
601C42D4×D7312yes—
602C42C23×D7312yes—
603C23—22no—
604C23—24no—
605C23—42no—
606C23—42no—
607C23C2×D4×D7311yescharacteristic
608Q8—22no—
609Q8—24no—
610Q8—2924no—
611Q8—2928no—
612Q8—5844no—
613Q8C22×Dic14614yes—
614D4—22no—
615D4—24no—
616D4C22×Dic14614yes—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—48no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—2922no—
627C2×C4—2922no—
628C2×C4—2922no—
629C2×C4—2922no—
630C2×C4—5844no—
631C2×C4—5844no—
632C2×C4—732no—
633C2×C4—732no—
634C2×C4—732no—
635C2×C4—732no—
636C2×C4—1462no—
637C2×C4—1462no—
638C2×C4—1462no—
639C2×C4—1462no—
640C2×C4—1462no—
641C2×C4—1462no—
642C2×C4—1462no—
643C2×C4—1462no—
644C2×C4C2×D4×D7312yes—
645C2×C4C2×D4×D7312yes—
646C2×C4C2×D4×D7311yescharacteristic
647C2×C4C22×Dic14612yes—
648C2×C4#1455663812yes—
649C2×C4C24×D7311yescharacteristic
650C8—22no—
651C8—1462no—
652C8—1462no—
653C8C22×Dic14614yes—
654C22—24no—
655C22—48no—
656C22—42no—
657C22—42no—
658C22D4×Dic14612yes—
659C22#1798938312yes—
660C22#1798939612yes—
661C22C22×D4×D7311yescharacteristic
662C4—22no—
663C4—24no—
664C4—22no—
665C4—42no—
666C4—42no—
667C4—2922no—
668C4—2922no—
669C4—2922no—
670C4—2922no—
671C4—1462no—
672C4—1462no—
673C4—1462no—
674C4—1462no—
675C4D4×Dic14612yes—
676C4C23×Dic14611yescharacteristic
677C4C2×#1455663811yescharacteristic
678C2—44no—
679C2#2262288114yesdirect product factor
680C2C2×D4×Dic14611yescharacteristic
681C2C2×#1798938311yescharacteristic
682C2C2×#1798939611yescharacteristic
subgroupG/H
centerC23C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#440×C73C2
socleC23×C73C22×D4
prime radicalC22×D4×C73C23
hypercenterC2×#440D73
hypocenterC73C2×#3388
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
1. C2×#17989313C2semidirect
3. #22622881C2direct (N × H)
4. C2×#17988996C2semidirect
5. C2×#17988995C2semidirect
6. C2×#17988988C2semidirect
7. C2×#17988896C2semidirect
8. C2×#17988892C2semidirect
9. C2×#17988872C2semidirect
13. C2×#17988715C2semidirect
18. #17989313C22semidirect
40. #17988996C22semidirect
41. #17988995C22semidirect
42. #17988988C22semidirect
43. #17988896C22semidirect
44. #17988892C22semidirect
48. #17988872C22semidirect
49. #17988715C22semidirect
159. C2×SD16×C73Q8semidirect
247. SD16×C73C2×Q8semidirect
338. C2×C73#3388semidirect
358. C73C2×#3388semidirect
427. C2×SD16Dic146semidirect
554. SD16C2×Dic146semidirect
679. C2#22622881direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179893132
C2×#179892942
#226228812
C2×#179889962
C2×#179889952
C2×#179889882
C2×#179888962
C2×#179888922
C2×#179888722
C2×#179888872
C2×#179888852
C2×#179888752
C2×#179887152
C2×#179886882
C2×SD16×Dic732
C2×#440×C732
C2×#338873