Finite Group Databasebeta

← C2×#21437043 #29469218

Subgroups — C2×#21437043 #29469218

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×#16838130C211yesmaximal, characteristic, complemented
2C2×#16838112C211yesmaximal, characteristic
3#21437043C2116yesmaximal, direct product factor
4C2×#16837811C211yesmaximal, characteristic, complemented
5C2×#16837811C211yesmaximal, characteristic, complemented
6C2×#16837804C211yesmaximal, characteristic, complemented
7C2×#16837710C211yesmaximal, characteristic, complemented
8C2×#16837710C211yesmaximal, characteristic, complemented
9C2×#16837688C211yesmaximal, characteristic, complemented
10C2×#16837703C211yesmaximal, characteristic
11C2×#16837703C211yesmaximal, characteristic
12C2×#16837693C211yesmaximal, characteristic
13C2×#16837504C211yesmaximal, characteristic
14C2×#16837504C211yesmaximal, characteristic
15C2×C4×#11745660C211yesmaximal, characteristic
16C2×C59×#446C211yesmaximal, characteristic, complemented
17C22×#11745660C2211yescharacteristic
18#16838130—24no—
19#16838130C2218yescomplemented
20#16838112—24no—
21#16838112C2218yes—
22C2×#14273727C2211yescharacteristic
23C2×#14273727C2211yescharacteristic
24C2×#14273725—21no—
25C2×#14273719C2211yescharacteristic
26C2×#14273719C2211yescharacteristic
27C2×#14273719C2211yescharacteristic
28C2×#14273719C2211yescharacteristic
29C2×#14273717—21no—
30C2×#14273717—21no—
31C2×#14273705—21no—
32C2×#14273705—21no—
33C2×#14273703—21no—
34C2×C4×Dic118C2211yescharacteristic
35C2×C4×Dic118C2211yescharacteristic
36C2×C4×Dic118C2211yescharacteristic
37C2×#14273692—21no—
38C2×C4×D236C2211yescharacteristic
39C2×C4×D236C2211yescharacteristic
40C2×C4×D236C2211yescharacteristic
41C2×C4⋊C4×D59—21no—
42#16837811C2218yescomplemented
43#16837811C2218yescomplemented
44#16837804C2218yescomplemented
45#16837710C2218yescomplemented
46#16837710C2218yescomplemented
47#16837703C2218yes—
48#16837703C2218yes—
49#16837693C2218yes—
50#16837688C2218yescomplemented
51#16837504C2218yes—
52#16837504C2218yes—
53C4×#11745660C2218yes—
54C2×#14273661C2211yescharacteristic
55C2×#14273661C2211yescharacteristic
56C2×#14273661C2211yescharacteristic
57C2×#14273661C2211yescharacteristic
58C2×#14273659C2211yescharacteristic
59C2×#14273659C2211yescharacteristic
60C2×#14273659C2211yescharacteristic
61C2×#14273659C2211yescharacteristic
62C2×#14273659C2211yescharacteristic
63C2×#14273652C2211yescharacteristic
64C2×#14273652C2211yescharacteristic
65C2×#14273652C2211yescharacteristic
66C2×#14273649C2211yescharacteristic
67C2×#14273649C2211yescharacteristic
68C2×#14273649C2211yescharacteristic
69C2×C4×Q8×C59C2211yescharacteristic
70C59×#446C2218yescomplemented
71C2×C4⋊C8×C59C2211yescharacteristic
72C2×C4⋊C8×C59C2211yescharacteristic
73C2×C4⋊C8×C59C2211yescharacteristic
74C2×#97×C59C2211yescharacteristic
75C2×#97×C59C2211yescharacteristic
76C2×C4×C8×C59C2211yescharacteristic
77C22×Dic118—21no—
78C22×Dic118—21no—
79C22×Dic118C2311yescharacteristic
80C22×D236C2311yescharacteristic
81C22×C4×D59—21no—
82C22×C4×D59—21no—
83C22×C4×D59—21no—
84C2×#11745660Q818yescomplemented
85C2×#11745660C2314yes—
86#14273727—22no—
87#14273727—22no—
88#14273727C2314yes—
89#14273727C2314yes—
90#14273725—28no—
91#14273719—22no—
92#14273719—22no—
93#14273719—22no—
94#14273719—22no—
95#14273719C2314yes—
96#14273719C2314yes—
97#14273719C2314yes—
98#14273719C2314yes—
99#14273717—28no—
100#14273717—28no—
101#14273705—28no—
102#14273705—28no—
103#14273703—28no—
104C4×Dic118—22no—
105C4×Dic118—22no—
106C4×Dic118—22no—
107C4×Dic118C2314yes—
108C4×Dic118C2314yes—
109C4×Dic118C2314yes—
110#14273692—28no—
111C4×D236—22no—
112C4×D236—22no—
113C4×D236—22no—
114C4×D236C2314yes—
115C4×D236C2314yes—
116C4×D236C2314yes—
117C2×C4⋊Dic59—21no—
118C2×C4⋊Dic59—21no—
119C2×C4⋊Dic59C2311yescharacteristic
120C2×C4⋊Dic59C2311yescharacteristic
121C2×C4⋊Dic59C2311yescharacteristic
122C2×C4⋊Dic59C2311yescharacteristic
123C2×C4⋊Dic59C2311yescharacteristic
124C2×C4⋊Dic59C2311yescharacteristic
125C2×Dic59⋊C4—21no—
126C2×Dic59⋊C4—21no—
127C2×Dic59⋊C4—21no—
128C2×Dic59⋊C4—21no—
129C2×Dic59⋊C4—21no—
130C2×Dic59⋊C4—21no—
131C2×Dic59⋊C4—21no—
132C2×Dic59⋊C4—21no—
133C2×Dic59⋊C4—21no—
134C2×Dic59⋊C4—21no—
135C2×Dic59⋊C4—21no—
136C4⋊C4×D59—28no—
137C2×(C2×D59)⋊C4—21no—
138C2×(C2×D59)⋊C4—21no—
139C2×(C2×D59)⋊C4—21no—
140C2×C4×Dic59—21no—
141C2×C4×Dic59—21no—
142C2×C4×Dic59—21no—
143#14273661C2314yes—
144#14273661C2314yes—
145#14273661C2314yes—
146#14273661C2314yes—
147#14273659C2314yes—
148#14273659C2314yes—
149#14273659C2314yes—
150#14273659C2314yes—
151#14273659C2314yes—
152#14273652C2314yes—
153#14273652C2314yes—
154#14273652C2314yes—
155#14273649C2314yes—
156#14273649C2314yes—
157#14273649C2314yes—
158C22×Q8×C59D411yescharacteristic
159C22×C8×C59C2311yescharacteristic
160C22×C8×C59C2311yescharacteristic
161C22×C8×C59C2311yescharacteristic
162C22×C8×C59C2311yescharacteristic
163C4×Q8×C59D414yes—
164C4×Q8×C59C2314yes—
165C2×C4⋊C4×C59D411yescharacteristic
166C2×C4⋊C4×C59D411yescharacteristic
167C2×C4⋊C4×C59D411yescharacteristic
168C2×C42×C59C2311yescharacteristic
169C2×C42×C59C2311yescharacteristic
170C2×C42×C59C2311yescharacteristic
171C4⋊C8×C59C2314yes—
172C4⋊C8×C59C2314yes—
173C4⋊C8×C59C2314yes—
174#97×C59C2314yes—
175#97×C59C2314yes—
176C4×C8×C59C2314yes—
177C23×D59—21no—
178C2×Q8×C59—42no—
179C2×Q8×C59C2×D414yes—
180C22×C4×C59C2×D411yescharacteristic
181C22×C4×C59C2×D411yescharacteristic
182C22×C4×C59C2×D411yescharacteristic
183C22×C4×C59C2×D411yescharacteristic
184C22×C4×C59C2×D411yescharacteristic
185C22×C4×C59C2×D411yescharacteristic
186C22×C4×C59C2411yescharacteristic
187C22×Dic59—21no—
188C22×Dic59—21no—
189C22×Dic59—21no—
190C22×Dic59—21no—
191C22×Dic59—21no—
192C22×Dic59—21no—
193C22×Dic59—21no—
194C2×D236—21no—
195C2×D236—22no—
196C2×D236C2×Q814yes—
197C2×D236C2412yes—
198C2×C4×D59—24no—
199C2×C4×D59—24no—
200C2×C4×D59—24no—
201C2×C4×D59—44no—
202C2×C4×D59—82no—
203C2×C4×D59—82no—
204C2×Dic118—21no—
205C2×Dic118—22no—
206C2×Dic118—24no—
207C2×Dic118—24no—
208C2×Dic118—44no—
209C2×Dic118—82no—
210C2×Dic118C2×Q814yes—
211C2×Dic118C2412yes—
212C2×C8×C59—22no—
213C2×C8×C59—22no—
214C2×C8×C59—22no—
215C2×C8×C59C2×Q814yes—
216C2×C8×C59C2412yes—
217C2×C8×C59C2412yes—
218C2×C8×C59C2412yes—
219C2×C8×C59C2412yes—
220C4⋊C4×C59C2×D414yes—
221C4⋊C4×C59C2×D414yes—
222C4⋊C4×C59C2×D414yes—
223C42×C59C2×D412yes—
224C42×C59C2×D412yes—
225C42×C59C2×D412yes—
226C42×C59C2412yes—
227C42×C59C2412yes—
228C42×C59C2412yes—
229(C2×D59)⋊C4—24no—
230(C2×D59)⋊C4—24no—
231(C2×D59)⋊C4—24no—
232C4⋊Dic59—24no—
233C4⋊Dic59—24no—
234C4⋊Dic59—21no—
235C4⋊Dic59—21no—
236C4⋊Dic59—21no—
237C4⋊Dic59—21no—
238C4⋊Dic59—21no—
239C4⋊Dic59—21no—
240C4⋊Dic59C2412yes—
241C4⋊Dic59C2412yes—
242C4⋊Dic59C2412yes—
243C4⋊Dic59C2412yes—
244C4⋊Dic59C2412yes—
245C4⋊Dic59C2412yes—
246Dic59⋊C4—24no—
247Dic59⋊C4—24no—
248Dic59⋊C4—24no—
249Dic59⋊C4—24no—
250Dic59⋊C4—24no—
251Dic59⋊C4—24no—
252Dic59⋊C4—24no—
253Dic59⋊C4—24no—
254Dic59⋊C4—24no—
255Dic59⋊C4—24no—
256Dic59⋊C4—24no—
257C4×Dic59—24no—
258C4×Dic59—24no—
259C4×Dic59—24no—
260#11745660C2×Q8116yescomplemented
261C23×C59C22×D411yescharacteristic
262C22×D59—24no—
263C22×D59—22no—
264C22×D59—42no—
265C22×D59—42no—
266Q8×C59—44no—
267C2×C4×C59—22no—
268C2×C4×C59—22no—
269C2×C4×C59—22no—
270C2×C4×C59—22no—
271C2×C4×C59—22no—
272C2×C4×C59—22no—
273C2×C4×C59C22×D412yes—
274C2×C4×C59C22×D412yes—
275C2×C4×C59C22×D412yes—
276C2×C4×C59C22×D412yes—
277C2×C4×C59C22×D412yes—
278C2×C4×C59C22×D412yes—
279C2×C4×C59C22×D411yescharacteristic
280C2×C4×C59C22×Q812yes—
281C2×C4×C592−1+412yes—
282C2×C4×C59C2511yescharacteristic
283C2×Dic59—24no—
284C2×Dic59—22no—
285C2×Dic59—22no—
286C2×Dic59—22no—
287C2×Dic59—22no—
288C2×Dic59—22no—
289C2×Dic59—22no—
290C2×Dic59—22no—
291C2×Dic59—42no—
292C2×Dic59—42no—
293C2×Dic59—42no—
294C2×Dic59—42no—
295C2×Dic59—42no—
296C2×Dic59—42no—
297D236—24no—
298D236—22no—
299D236C22×Q814yes—
300C4×D59—48no—
301C4×D59—84no—
302C4×D59—84no—
303Dic118—24no—
304Dic118—22no—
305Dic118—48no—
306Dic118—84no—
307Dic118C22×Q814yes—
308C8×C59—22no—
309C8×C59—22no—
310C8×C59—22no—
311C8×C59C22×Q814yes—
312C2×#3388—591nomaximal, Sylow
313C22×C59D4×Q812yes—
314C22×C59#57512yes—
315C22×C59#57712yes—
316C22×C59C23×D411yescharacteristic
317C2×D59—24no—
318C2×D59—48no—
319C2×D59—42no—
320C2×D59—42no—
321C4×C59—22no—
322C4×C59—22no—
323C4×C59—22no—
324C4×C59—22no—
325C4×C59—22no—
326C4×C59—22no—
327C4×C59D4×Q812yes—
328C4×C59C23×Q811yescharacteristic
329C4×C59C2×2−1+411yescharacteristic
330Dic59—24no—
331Dic59—42no—
332Dic59—42no—
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×#446D5911yescharacteristic, complemented
350C2×#440—591no—
351C2×#440—591no—
352C2×C4×SD16—591no—
353C2×C59#338814yescomplemented
354C2×C59C2×D4×Q811yescharacteristic
355C2×C59C2×#57511yescharacteristic
356C2×C59C2×#57711yescharacteristic
357D59—44no—
358C22×SD16—591no—
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×D4—591no—
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#446C2×D5918yescomplemented
394#440—598no—
395#440—598no—
396C4×SD16—598no—
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×#106—591no—
406C2×C4⋊C8C2×D5911yescharacteristic
407C2×C4⋊C8C2×D5911yescharacteristic
408C2×C4⋊C8C2×D5911yescharacteristic
409C2×#103—591no—
410C2×#103—591no—
411C2×#103—591no—
412C2×#102—591no—
413C2×#102—591no—
414C2×#102—591no—
415C2×#97C2×D5911yescharacteristic
416C2×#97C2×D5911yescharacteristic
417C2×C4×C8C2×D5911yescharacteristic
418C59C2×#338811yescharacteristic, complemented, Sylow
419C22×Q8—591no—
420C22×Q8—1181no—
421C22×Q8—1181no—
422C22×Q8D23611yescharacteristic
423C22×D4—591no—
424C23×C4—1181no—
425C23×C4—1181no—
426C23×C4—1181no—
427C2×SD16—598no—
428C2×SD16—594no—
429C22×C8C22×D5911yescharacteristic
430C22×C8C22×D5911yescharacteristic
431C22×C8C22×D5911yescharacteristic
432C22×C8C22×D5911yescharacteristic
433C4⋊Q8—594no—
434C4⋊Q8—594no—
435C4⋊Q8—1188no—
436C4⋊Q8—1182no—
437C4⋊Q8—1182no—
438#125—594no—
439#125—594no—
440#125—594no—
441#125—594no—
442#125—1188no—
443#125—1188no—
444#125—1182no—
445#125—1182no—
446#125—1182no—
447#125—1182no—
448C22⋊Q8—1188no—
449C22⋊Q8—1188no—
450C22⋊Q8—1188no—
451C4×Q8—594no—
452C4×Q8—594no—
453C4×Q8—594no—
454C4×Q8—1188no—
455C4×Q8—1182no—
456C4×Q8—1182no—
457C4×Q8—1182no—
458C4×Q8D23614yes—
459C4×Q8C22×D5914yes—
460C4×D4—594no—
461C4×D4—594no—
462C4×D4—594no—
463C4×D4—1182no—
464C4×D4—1182no—
465C4×D4—1182no—
466C2×C4⋊C4—591no—
467C2×C4⋊C4—591no—
468C2×C4⋊C4—591no—
469C2×C4⋊C4—591no—
470C2×C4⋊C4—591no—
471C2×C4⋊C4—591no—
472C2×C4⋊C4—1181no—
473C2×C4⋊C4—1181no—
474C2×C4⋊C4—1181no—
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—1188no—
486C2×C4⋊C4D23611yescharacteristic
487C2×C4⋊C4D23611yescharacteristic
488C2×C4⋊C4D23611yescharacteristic
489C2×C22⋊C4—1181no—
490C2×C22⋊C4—1181no—
491C2×C22⋊C4—1181no—
492C2×C42—1181no—
493C2×C42—1181no—
494C2×C42—1181no—
495C2×C42C22×D5911yescharacteristic
496C2×C42C22×D5911yescharacteristic
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#106—594no—
507C4⋊C8C22×D5914yes—
508C4⋊C8C22×D5914yes—
509C4⋊C8C22×D5914yes—
510#103—594no—
511#103—594no—
512#103—594no—
513#102—594no—
514#102—594no—
515#102—594no—
516#97C22×D5914yes—
517#97C22×D5914yes—
518C4×C8C22×D5914yes—
519C24—1181no—
520C2×Q8—42no—
521C2×Q8—594no—
522C2×Q8—592no—
523C2×Q8—1181no—
524C2×Q8—1184no—
525C2×Q8—1184no—
526C2×Q8—1182no—
527C2×Q8—4722no—
528C2×Q8—2364no—
529C2×Q8C2×D23614yes—
530C2×D4—594no—
531C2×D4—592no—
532C2×D4—1181no—
533C2×D4—1182no—
534C22×C4—1181no—
535C22×C4—1181no—
536C22×C4—1181no—
537C22×C4—1181no—
538C22×C4—1181no—
539C22×C4—1181no—
540C22×C4—1181no—
541C22×C4—1184no—
542C22×C4—1184no—
543C22×C4—1184no—
544C22×C4—4722no—
545C22×C4—4722no—
546C22×C4—2364no—
547C22×C4C2×D23611yescharacteristic
548C22×C4C2×D23611yescharacteristic
549C22×C4C2×D23611yescharacteristic
550C22×C4C2×D23611yescharacteristic
551C22×C4C2×D23611yescharacteristic
552C22×C4C2×D23611yescharacteristic
553C22×C4C23×D5911yescharacteristic
554SD16—5916no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8Q8×D5914yes—
559C2×C8C23×D5912yes—
560C2×C8C23×D5912yes—
561C2×C8C23×D5912yes—
562C2×C8C23×D5912yes—
563C4⋊C4—592no—
564C4⋊C4—592no—
565C4⋊C4—592no—
566C4⋊C4—592no—
567C4⋊C4—592no—
568C4⋊C4—592no—
569C4⋊C4—1181no—
570C4⋊C4—1181no—
571C4⋊C4—1181no—
572C4⋊C4—1181no—
573C4⋊C4—1181no—
574C4⋊C4—1181no—
575C4⋊C4—1184no—
576C4⋊C4—1184no—
577C4⋊C4—1184no—
578C4⋊C4—1184no—
579C4⋊C4—1184no—
580C4⋊C4—1184no—
581C4⋊C4—1184no—
582C4⋊C4—1184no—
583C4⋊C4—1184no—
584C4⋊C4—1184no—
585C4⋊C4—1184no—
586C4⋊C4—1184no—
587C4⋊C4—1184no—
588C4⋊C4C2×D23614yes—
589C4⋊C4C2×D23614yes—
590C4⋊C4C2×D23614yes—
591C22⋊C4—1184no—
592C22⋊C4—1184no—
593C22⋊C4—1184no—
594C42—1184no—
595C42—1184no—
596C42—1184no—
597C42C2×D23612yes—
598C42C2×D23612yes—
599C42C2×D23612yes—
600C42C23×D5912yes—
601C42C23×D5912yes—
602C42C23×D5912yes—
603C23—1182no—
604C23—1184no—
605C23—2362no—
606C23—2362no—
607C23C22×D23611yescharacteristic
608Q8—44no—
609Q8—594no—
610Q8—1182no—
611Q8—1184no—
612Q8—4724no—
613Q8—2368no—
614D4—594no—
615D4—1182no—
616D4—1184no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—1182no—
624C2×C4—1184no—
625C2×C4—1182no—
626C2×C4—1182no—
627C2×C4—1182no—
628C2×C4—1182no—
629C2×C4—1182no—
630C2×C4—1182no—
631C2×C4—4724no—
632C2×C4—4724no—
633C2×C4—2368no—
634C2×C4—2362no—
635C2×C4—2362no—
636C2×C4—2362no—
637C2×C4—2362no—
638C2×C4—2362no—
639C2×C4—2362no—
640C2×C4C22×D23612yes—
641C2×C4C22×D23612yes—
642C2×C4C22×D23612yes—
643C2×C4C22×D23612yes—
644C2×C4C22×D23612yes—
645C2×C4C22×D23612yes—
646C2×C4C22×D23611yescharacteristic
647C2×C4C2×Q8×D5912yes—
648C2×C4#1427377412yes—
649C2×C4C24×D5911yescharacteristic
650C8—22no—
651C8—22no—
652C8—22no—
653C8C2×Q8×D5914yes—
654C22—1184no—
655C22—2368no—
656C22—2362no—
657C22—2362no—
658C22Q8×D23612yes—
659C22#1683820212yes—
660C22#1683821412yes—
661C22C23×D23611yescharacteristic
662C4—22no—
663C4—22no—
664C4—22no—
665C4—22no—
666C4—22no—
667C4—22no—
668C4—1184no—
669C4—2362no—
670C4—2362no—
671C4—2362no—
672C4—2362no—
673C4—2362no—
674C4—2362no—
675C4Q8×D23612yes—
676C4C22×Q8×D5911yescharacteristic
677C4C2×#1427377411yescharacteristic
678C2—2364no—
679C2#2143704314yesdirect product factor
680C2C2×Q8×D23611yescharacteristic
681C2C2×#1683820211yescharacteristic
682C2C2×#1683821411yescharacteristic
subgroupG/H
centerC23C22×D236
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#446C2
socleC23×C59C22×D4
prime radicalC22×D236C23
hypercenterC2×#446D59
hypocenterC59C2×#3388
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
1. C2×#16838130C2semidirect
3. #21437043C2direct (N × H)
4. C2×#16837811C2semidirect
5. C2×#16837811C2semidirect
6. C2×#16837804C2semidirect
7. C2×#16837710C2semidirect
8. C2×#16837710C2semidirect
9. C2×#16837688C2semidirect
16. C2×C59×#446C2semidirect
19. #16838130C22semidirect
42. #16837811C22semidirect
43. #16837811C22semidirect
44. #16837804C22semidirect
45. #16837710C22semidirect
46. #16837710C22semidirect
50. #16837688C22semidirect
70. C59×#446C22semidirect
84. C2×#11745660Q8semidirect
260. #11745660C2×Q8semidirect
349. C2×#446D59semidirect
353. C2×C59#3388semidirect
393. #446C2×D59semidirect
418. C59C2×#3388semidirect
679. C2#21437043direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168381302
C2×#168381122
#214370432
C2×#168378112
C2×#168378042
C2×#168377102
C2×#168376882
C2×#168377032
C2×#168376932
C2×#168375042
C2×C4×#117456602
C2×C59×#4462
C2×#338859