Finite Group Databasebeta

← C2×#21437037 #29469212

Subgroups — C2×#21437037 #29469212

Order 15104.

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×#16838128C211yesmaximal, characteristic, complemented
2C2×#16838111C211yesmaximal, characteristic
3#21437037C2116yesmaximal, direct product factor
4C2×#16837809C211yesmaximal, characteristic, complemented
5C2×#16837809C211yesmaximal, characteristic, complemented
6C2×#16837804C211yesmaximal, characteristic, complemented
7C2×#16837709C211yesmaximal, characteristic, complemented
8C2×#16837707C211yesmaximal, characteristic, complemented
9C2×#16837685C211yesmaximal, characteristic, complemented
10C2×#16837704C211yesmaximal, characteristic
11C2×#16837702C211yesmaximal, characteristic
12C2×#16837690C211yesmaximal, characteristic
13C2×#16837532C211yesmaximal, characteristic, complemented
14C2×#16837503C211yesmaximal, characteristic
15C2×#16837503C211yesmaximal, characteristic
16C2×C4×SD16×C59C211yesmaximal, characteristic
17#16838128—24no—
18#16838128C2218yescomplemented
19#16838111—24no—
20#16838111C2218yes—
21C2×#14273726—21no—
22C2×#14273726C2211yescharacteristic
23C2×#14273726C2211yescharacteristic
24C2×#14273719—21no—
25C2×#14273719C2211yescharacteristic
26C2×#14273719C2211yescharacteristic
27C2×#14273718—21no—
28C2×#14273718C2211yescharacteristic
29C2×#14273718C2211yescharacteristic
30C2×#14273706—21no—
31C2×#14273704—21no—
32C2×#14273704—21no—
33C2×Q8×Dic59C2211yescharacteristic
34C2×Q8×Dic59C2211yescharacteristic
35C2×C4×Dic118—21no—
36C2×C4×Dic118C2211yescharacteristic
37C2×D4×Dic59C2211yescharacteristic
38C2×D4×Dic59C2211yescharacteristic
39C22×Dic59⋊C4—21no—
40#16837809C2218yescomplemented
41#16837809C2218yescomplemented
42#16837804C2218yescomplemented
43#16837709C2218yescomplemented
44#16837707C2218yescomplemented
45#16837704C2218yes—
46#16837702C2218yes—
47#16837690C2218yes—
48#16837685C2218yescomplemented
49#16837532C2218yescomplemented
50#16837503C2218yes—
51#16837503C2218yes—
52C2×#14273661C2211yescharacteristic
53C2×#14273661C2211yescharacteristic
54C2×#14273660C2211yescharacteristic
55C2×#14273660C2211yescharacteristic
56C2×#14273659C2211yescharacteristic
57C2×#14273659C2211yescharacteristic
58C2×#14273658C2211yescharacteristic
59C2×#14273658C2211yescharacteristic
60C2×C4⋊(C59⋊C8)C2211yescharacteristic
61C2×Dic59⋊C8C2211yescharacteristic
62C2×Dic59⋊C8C2211yescharacteristic
63C2×#14273651C2211yescharacteristic
64C2×#14273651C2211yescharacteristic
65C2×#14273648C2211yescharacteristic
66C2×#14273648C2211yescharacteristic
67C2×#14273637C2211yescharacteristic
68C2×#14273637C2211yescharacteristic
69C22×SD16×C59C2211yescharacteristic
70C2×C4×Q8×C59C2211yescharacteristic
71C2×C4×D4×C59C2211yescharacteristic
72C4×SD16×C59C2218yes—
73C2×#106×C59C2211yescharacteristic
74C2×#103×C59C2211yescharacteristic
75C2×#102×C59C2211yescharacteristic
76C2×C4×C8×C59C2211yescharacteristic
77C22×Dic118—21no—
78C22×Dic118—21no—
79C22×Dic118D411yescharacteristic
80C23×Dic59—21no—
81C23×Dic59—21no—
82C22×C59⋊C8C2311yescharacteristic
83C22×C59⋊C8C2311yescharacteristic
84#14273726—28no—
85#14273726—22no—
86#14273726—22no—
87#14273726C2314yes—
88#14273726C2314yes—
89#14273719—22no—
90#14273719—22no—
91#14273719—28no—
92#14273719C2314yes—
93#14273719C2314yes—
94#14273718—28no—
95#14273718—22no—
96#14273718—22no—
97#14273718C2314yes—
98#14273718C2314yes—
99#14273706—28no—
100#14273704—28no—
101#14273704—28no—
102Q8×Dic59—22no—
103Q8×Dic59—22no—
104Q8×Dic59C2314yes—
105Q8×Dic59C2314yes—
106C4×Dic118—28no—
107C4×Dic118D414yes—
108C4×Dic118C2314yes—
109D4×Dic59—22no—
110D4×Dic59—22no—
111D4×Dic59C2314yes—
112D4×Dic59C2314yes—
113C2×C4⋊Dic59—21no—
114C2×C4⋊Dic59—21no—
115C2×C4⋊Dic59—21no—
116C2×C4⋊Dic59—21no—
117C2×C4⋊Dic59D411yescharacteristic
118C2×C4⋊Dic59C2311yescharacteristic
119C2×C4⋊Dic59C2311yescharacteristic
120C2×C4⋊Dic59C2311yescharacteristic
121C2×C4⋊Dic59C2311yescharacteristic
122C2×Dic59⋊C4—21no—
123C2×Dic59⋊C4—21no—
124C2×Dic59⋊C4—21no—
125C2×Dic59⋊C4—21no—
126C2×Dic59⋊C4—21no—
127C2×Dic59⋊C4—21no—
128C2×Dic59⋊C4—21no—
129C2×Dic59⋊C4—21no—
130C2×Dic59⋊C4—28no—
131C2×Dic59⋊C4D411yescharacteristic
132C2×Dic59⋊C4D411yescharacteristic
133C2×C22⋊Dic59—21no—
134C2×C22⋊Dic59—21no—
135C2×C4×Dic59—21no—
136C2×C4×Dic59—21no—
137C2×C4×Dic59C2311yescharacteristic
138C2×C4×Dic59C2311yescharacteristic
139#14273661C2314yes—
140#14273661C2314yes—
141#14273660C2314yes—
142#14273660C2314yes—
143#14273659C2314yes—
144#14273659C2314yes—
145#14273658C2314yes—
146#14273658C2314yes—
147C4⋊(C59⋊C8)C2314yes—
148Dic59⋊C8C2314yes—
149Dic59⋊C8C2314yes—
150#14273651C2314yes—
151#14273651C2314yes—
152#14273648C2314yes—
153#14273648C2314yes—
154#14273637C2314yes—
155#14273637C2314yes—
156C22×Q8×C59C2311yescharacteristic
157C22×D4×C59C2311yescharacteristic
158C23×C4×C59—21no—
159C2×SD16×C59Q818yescomplemented
160C2×SD16×C59C2314yes—
161C22×C8×C59C2311yescharacteristic
162C22×C8×C59C2311yescharacteristic
163C4×Q8×C59—22no—
164C4×Q8×C59C2314yes—
165C4×D4×C59—22no—
166C4×D4×C59C2314yes—
167C2×C4⋊C4×C59—21no—
168C2×C4⋊C4×C59C2311yescharacteristic
169C2×C4⋊C4×C59C2311yescharacteristic
170C2×C22⋊C4×C59—21no—
171C2×C42×C59—21no—
172C2×C42×C59C2311yescharacteristic
173#106×C59C2314yes—
174#103×C59C2314yes—
175#102×C59C2314yes—
176C4×C8×C59C2314yes—
177C24×C59—21no—
178C2×Q8×C59—21no—
179C2×Q8×C59—22no—
180C2×Q8×C59C2×Q814yes—
181C2×Q8×C59C2412yes—
182C2×D4×C59—21no—
183C2×D4×C59—22no—
184C2×D4×C59C2×Q814yes—
185C2×D4×C59C2412yes—
186C22×C4×C59—21no—
187C22×C4×C59—21no—
188C22×C4×C59—21no—
189C22×C4×C59—24no—
190C22×C4×C59—82no—
191C22×C4×C59C2×D411yescharacteristic
192C22×C4×C59C2×D411yescharacteristic
193C22×C4×C59C2411yescharacteristic
194C22×Dic59—21no—
195C22×Dic59—21no—
196C22×Dic59—21no—
197C22×Dic59—21no—
198C22×Dic59—24no—
199C22×Dic59—24no—
200C22×Dic59—44no—
201C22×Dic59—82no—
202C22×Dic59C2×D411yescharacteristic
203C22×Dic59C2×D411yescharacteristic
204C22×Dic59C2×D411yescharacteristic
205C22×Dic59C2×D411yescharacteristic
206C2×Dic118—24no—
207C2×Dic118—24no—
208C2×Dic118—42no—
209C2×Dic118—44no—
210C2×Dic118—82no—
211C2×Dic118C2×D414yes—
212SD16×C59C2×Q8116yescomplemented
213C2×C8×C59—22no—
214C2×C8×C59C2×Q814yes—
215C2×C8×C59C2412yes—
216C2×C8×C59C2412yes—
217C4⋊C4×C59—24no—
218C4⋊C4×C59—21no—
219C4⋊C4×C59—21no—
220C4⋊C4×C59C2412yes—
221C4⋊C4×C59C2412yes—
222C22⋊C4×C59—24no—
223C42×C59—24no—
224C42×C59C2×D412yes—
225C42×C59C2412yes—
226C22⋊Dic59—24no—
227C22⋊Dic59—24no—
228C4⋊Dic59—21no—
229C4⋊Dic59—21no—
230C4⋊Dic59—21no—
231C4⋊Dic59—21no—
232C4⋊Dic59—24no—
233C4⋊Dic59—24no—
234C4⋊Dic59—24no—
235C4⋊Dic59—24no—
236C4⋊Dic59C2×D414yes—
237C4⋊Dic59C2412yes—
238C4⋊Dic59C2412yes—
239C4⋊Dic59C2412yes—
240C4⋊Dic59C2412yes—
241Dic59⋊C4—24no—
242Dic59⋊C4—24no—
243Dic59⋊C4—24no—
244Dic59⋊C4—24no—
245Dic59⋊C4—24no—
246Dic59⋊C4—24no—
247Dic59⋊C4—24no—
248Dic59⋊C4—24no—
249Dic59⋊C4C2×D414yes—
250Dic59⋊C4C2×D414yes—
251C4×Dic59—24no—
252C4×Dic59—24no—
253C4×Dic59C2×D412yes—
254C4×Dic59C2×D412yes—
255C4×Dic59C2412yes—
256C4×Dic59C2412yes—
257C2×C59⋊C8—22no—
258C2×C59⋊C8—22no—
259C2×C59⋊C8C2412yes—
260C2×C59⋊C8C2412yes—
261C23×C59—24no—
262C23×C59—22no—
263C23×C59—42no—
264C23×C59—42no—
265C23×C59C22×D411yescharacteristic
266Q8×C59—24no—
267Q8×C59—22no—
268Q8×C59C22×Q814yes—
269D4×C59—24no—
270D4×C59—22no—
271D4×C59C22×Q814yes—
272C2×C4×C59—24no—
273C2×C4×C59—22no—
274C2×C4×C59—22no—
275C2×C4×C59—22no—
276C2×C4×C59—22no—
277C2×C4×C59—22no—
278C2×C4×C59—42no—
279C2×C4×C59—42no—
280C2×C4×C59—84no—
281C2×C4×C59C22×D412yes—
282C2×C4×C59C22×D412yes—
283C2×C4×C59C22×D411yescharacteristic
284C2×C4×C59C22×Q812yes—
285C2×C4×C592−1+412yes—
286C2×C4×C59C2511yescharacteristic
287C2×Dic59—22no—
288C2×Dic59—22no—
289C2×Dic59—22no—
290C2×Dic59—22no—
291C2×Dic59—22no—
292C2×Dic59—22no—
293C2×Dic59—22no—
294C2×Dic59—22no—
295C2×Dic59—48no—
296C2×Dic59—42no—
297C2×Dic59—42no—
298C2×Dic59—42no—
299C2×Dic59—42no—
300C2×Dic59—84no—
301C2×Dic59C22×D412yes—
302C2×Dic59C22×D412yes—
303C2×Dic59C22×D412yes—
304C2×Dic59C22×D412yes—
305Dic118—44no—
306Dic118—48no—
307Dic118—84no—
308C8×C59—22no—
309C8×C59C22×Q814yes—
310C59⋊C8—22no—
311C59⋊C8—22no—
312C2×#3388—591nomaximal, Sylow
313C22×C59—24no—
314C22×C59—48no—
315C22×C59—42no—
316C22×C59—42no—
317C22×C59D4×Q812yes—
318C22×C59#57512yes—
319C22×C59#57712yes—
320C22×C59C23×D411yescharacteristic
321C4×C59—24no—
322C4×C59—22no—
323C4×C59—22no—
324C4×C59—42no—
325C4×C59—42no—
326C4×C59D4×Q812yes—
327C4×C59C23×Q811yescharacteristic
328C4×C59C2×2−1+411yescharacteristic
329Dic59—22no—
330Dic59—22no—
331Dic59—22no—
332Dic59—22no—
333Dic59—42no—
334Dic59—42no—
335Dic59—42no—
336Dic59—42no—
337C2×#557—591no—
338C2×#554—591no—
339#3388—5916no—
340C2×#501—591no—
341C2×#501—591no—
342C2×#499—591no—
343C2×#479—591no—
344C2×#479—591no—
345C2×#475—591no—
346C2×#478—591no—
347C2×#478—591no—
348C2×#476—591no—
349C2×#446—591no—
350C2×#440—591no—
351C2×#440—591no—
352C2×C4×SD16D5911yescharacteristic
353C2×C59—44no—
354C2×C59#338814yescomplemented
355C2×C59C2×D4×Q811yescharacteristic
356C2×C59C2×#57511yescharacteristic
357C2×C59C2×#57711yescharacteristic
358C22×SD16C2×D5911yescharacteristic
359#557—598no—
360#557—1184no—
361#554—598no—
362#554—1184no—
363C2×C4⋊Q8—591no—
364C2×C4⋊Q8—591no—
365C2×C4⋊Q8—1181no—
366C2×#125—591no—
367C2×#125—591no—
368C2×#125—591no—
369C2×#125—591no—
370C2×#125—1181no—
371C2×#125—1181no—
372C2×C22⋊Q8—1181no—
373C2×C22⋊Q8—1181no—
374C2×C22⋊Q8—1181no—
375C2×C4×Q8—591no—
376C2×C4×Q8—591no—
377C2×C4×Q8—591no—
378C2×C4×Q8—1181no—
379C2×C4×Q8C2×D5911yescharacteristic
380C2×C4×D4—591no—
381C2×C4×D4—591no—
382C2×C4×D4C2×D5911yescharacteristic
383C22×C4⋊C4—1181no—
384#501—598no—
385#501—598no—
386#499—598no—
387#479—598no—
388#479—598no—
389#478—598no—
390#478—598no—
391#476—598no—
392#475—598no—
393#446—598no—
394#440—598no—
395#440—598no—
396C4×SD16C2×D5918yes—
397C2×#107—591no—
398C2×#107—591no—
399C2×#107—591no—
400C2×#107—591no—
401C2×#106—591no—
402C2×#106—591no—
403C2×#106—591no—
404C2×#106—591no—
405C2×#106C2×D5911yescharacteristic
406C2×C4⋊C8—591no—
407C2×C4⋊C8—591no—
408C2×C4⋊C8—591no—
409C2×#103—591no—
410C2×#103—591no—
411C2×#103C2×D5911yescharacteristic
412C2×#102—591no—
413C2×#102—591no—
414C2×#102C2×D5911yescharacteristic
415C2×#97—591no—
416C2×#97—591no—
417C2×C4×C8C2×D5911yescharacteristic
418C59C2×#338811yescharacteristic, complemented, Sylow
419C22×Q8—591no—
420C22×Q8—1181no—
421C22×Q8—1181no—
422C22×Q8C22×D5911yescharacteristic
423C22×D4C22×D5911yescharacteristic
424C23×C4—21no—
425C23×C4—1181no—
426C23×C4—1181no—
427C2×SD16Dic11818yescomplemented
428C2×SD16C22×D5914yes—
429C22×C8—591no—
430C22×C8—591no—
431C22×C8C22×D5911yescharacteristic
432C22×C8C22×D5911yescharacteristic
433C4⋊Q8—594no—
434C4⋊Q8—594no—
435C4⋊Q8—1182no—
436C4⋊Q8—1182no—
437C4⋊Q8—1188no—
438#125—594no—
439#125—594no—
440#125—594no—
441#125—594no—
442#125—1188no—
443#125—1182no—
444#125—1182no—
445#125—1188no—
446#125—1182no—
447#125—1182no—
448C22⋊Q8—1188no—
449C22⋊Q8—1188no—
450C22⋊Q8—1188no—
451C4×Q8—22no—
452C4×Q8—594no—
453C4×Q8—594no—
454C4×Q8—594no—
455C4×Q8—594no—
456C4×Q8—1188no—
457C4×Q8—1182no—
458C4×Q8—1182no—
459C4×Q8C22×D5914yes—
460C4×D4—22no—
461C4×D4—594no—
462C4×D4—594no—
463C4×D4—1182no—
464C4×D4—1182no—
465C4×D4C22×D5914yes—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—591no—
468C2×C4⋊C4—591no—
469C2×C4⋊C4—591no—
470C2×C4⋊C4—591no—
471C2×C4⋊C4—591no—
472C2×C4⋊C4—591no—
473C2×C4⋊C4—591no—
474C2×C4⋊C4—1188no—
475C2×C4⋊C4—1181no—
476C2×C4⋊C4—1181no—
477C2×C4⋊C4—1181no—
478C2×C4⋊C4—1181no—
479C2×C4⋊C4—1181no—
480C2×C4⋊C4—1181no—
481C2×C4⋊C4—1181no—
482C2×C4⋊C4—1181no—
483C2×C4⋊C4—1181no—
484C2×C4⋊C4—1181no—
485C2×C4⋊C4—1181no—
486C2×C4⋊C4—1181no—
487C2×C4⋊C4C22×D5911yescharacteristic
488C2×C4⋊C4C22×D5911yescharacteristic
489C2×C22⋊C4—21no—
490C2×C22⋊C4—1181no—
491C2×C22⋊C4—1181no—
492C2×C42—21no—
493C2×C42—591no—
494C2×C42—591no—
495C2×C42—1181no—
496C2×C42—1181no—
497C2×C42C22×D5911yescharacteristic
498#107—594no—
499#107—594no—
500#107—594no—
501#107—594no—
502#106—594no—
503#106—594no—
504#106—594no—
505#106—594no—
506#106C22×D5914yes—
507C4⋊C8—594no—
508C4⋊C8—594no—
509C4⋊C8—594no—
510#103—594no—
511#103—594no—
512#103C22×D5914yes—
513#102—594no—
514#102—594no—
515#102C22×D5914yes—
516#97—594no—
517#97—594no—
518C4×C8C22×D5914yes—
519C24—21no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—594no—
523C2×Q8—1184no—
524C2×Q8—1184no—
525C2×Q8—4722no—
526C2×Q8—2362no—
527C2×Q8—2364no—
528C2×Q8C2×Dic11814yes—
529C2×Q8C23×D5912yes—
530C2×D4—21no—
531C2×D4—22no—
532C2×D4C2×Dic11814yes—
533C2×D4C23×D5912yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—24no—
538C22×C4—82no—
539C22×C4—591no—
540C22×C4—591no—
541C22×C4—591no—
542C22×C4—591no—
543C22×C4—1184no—
544C22×C4—1184no—
545C22×C4—1181no—
546C22×C4—1181no—
547C22×C4—1181no—
548C22×C4—1181no—
549C22×C4—4722no—
550C22×C4—2364no—
551C22×C4D4×D5911yescharacteristic
552C22×C4D4×D5911yescharacteristic
553C22×C4C23×D5911yescharacteristic
554SD16C2×Dic118116yescomplemented
555C2×C8—22no—
556C2×C8—592no—
557C2×C8—592no—
558C2×C8—1182no—
559C2×C8—1182no—
560C2×C8C2×Dic11814yes—
561C2×C8C23×D5912yes—
562C2×C8C23×D5912yes—
563C4⋊C4—24no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—594no—
567C4⋊C4—594no—
568C4⋊C4—594no—
569C4⋊C4—592no—
570C4⋊C4—592no—
571C4⋊C4—592no—
572C4⋊C4—592no—
573C4⋊C4—1184no—
574C4⋊C4—1184no—
575C4⋊C4—1184no—
576C4⋊C4—1184no—
577C4⋊C4—1184no—
578C4⋊C4—1184no—
579C4⋊C4—1184no—
580C4⋊C4—1184no—
581C4⋊C4—1181no—
582C4⋊C4—1181no—
583C4⋊C4—1181no—
584C4⋊C4—1181no—
585C4⋊C4—1184no—
586C4⋊C4—1184no—
587C4⋊C4—1184no—
588C4⋊C4—1184no—
589C4⋊C4C23×D5912yes—
590C4⋊C4C23×D5912yes—
591C22⋊C4—24no—
592C22⋊C4—1184no—
593C22⋊C4—1184no—
594C42—24no—
595C42—592no—
596C42—592no—
597C42—592no—
598C42—592no—
599C42—1184no—
600C42—1184no—
601C42D4×D5912yes—
602C42C23×D5912yes—
603C23—22no—
604C23—24no—
605C23—42no—
606C23—42no—
607C23C2×D4×D5911yescharacteristic
608Q8—22no—
609Q8—24no—
610Q8—4724no—
611Q8—2364no—
612Q8—2368no—
613Q8C22×Dic11814yes—
614D4—22no—
615D4—24no—
616D4C22×Dic11814yes—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—24no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—84no—
626C2×C4—592no—
627C2×C4—592no—
628C2×C4—592no—
629C2×C4—592no—
630C2×C4—1182no—
631C2×C4—1182no—
632C2×C4—1182no—
633C2×C4—1182no—
634C2×C4—1182no—
635C2×C4—1182no—
636C2×C4—1182no—
637C2×C4—1182no—
638C2×C4—4724no—
639C2×C4—2368no—
640C2×C4—2362no—
641C2×C4—2362no—
642C2×C4—2362no—
643C2×C4—2362no—
644C2×C4C2×D4×D5912yes—
645C2×C4C2×D4×D5912yes—
646C2×C4C2×D4×D5911yescharacteristic
647C2×C4C22×Dic11812yes—
648C2×C4#1427377412yes—
649C2×C4C24×D5911yescharacteristic
650C8—22no—
651C8—1182no—
652C8—1182no—
653C8C22×Dic11814yes—
654C22—24no—
655C22—48no—
656C22—42no—
657C22—42no—
658C22D4×Dic11812yes—
659C22#1683819912yes—
660C22#1683820812yes—
661C22C22×D4×D5911yescharacteristic
662C4—22no—
663C4—24no—
664C4—22no—
665C4—42no—
666C4—42no—
667C4—1182no—
668C4—1182no—
669C4—1182no—
670C4—1182no—
671C4—2362no—
672C4—2362no—
673C4—2362no—
674C4—2362no—
675C4D4×Dic11812yes—
676C4C23×Dic11811yescharacteristic
677C4C2×#1427377411yescharacteristic
678C2—44no—
679C2#2143703714yesdirect product factor
680C2C2×D4×Dic11811yescharacteristic
681C2C2×#1683819911yescharacteristic
682C2C2×#1683820811yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C4×SD16×C59C2
socleC23×C59C22×D4
prime radicalC22×D4×C59C23
hypercenterC2×C4×SD16D59
hypocenterC59C2×#3388
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
1. C2×#16838128C2semidirect
3. #21437037C2direct (N × H)
4. C2×#16837809C2semidirect
5. C2×#16837809C2semidirect
6. C2×#16837804C2semidirect
7. C2×#16837709C2semidirect
8. C2×#16837707C2semidirect
9. C2×#16837685C2semidirect
13. C2×#16837532C2semidirect
18. #16838128C22semidirect
40. #16837809C22semidirect
41. #16837809C22semidirect
42. #16837804C22semidirect
43. #16837709C22semidirect
44. #16837707C22semidirect
48. #16837685C22semidirect
49. #16837532C22semidirect
159. C2×SD16×C59Q8semidirect
212. SD16×C59C2×Q8semidirect
354. C2×C59#3388semidirect
418. C59C2×#3388semidirect
427. C2×SD16Dic118semidirect
554. SD16C2×Dic118semidirect
679. C2#21437037direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168381282
C2×#168381112
#214370372
C2×#168378092
C2×#168378042
C2×#168377092
C2×#168377072
C2×#168376852
C2×#168377042
C2×#168377022
C2×#168376902
C2×#168375322
C2×#168375032
C2×C4×SD16×C592
C2×#338859