Finite Group Databasebeta

← C2×#20287559 #28263891

Subgroups — C2×#20287559 #28263891

Order 13568.

1810 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811351C211yesmaximal, characteristic, complemented
2C2×#16811346C211yesmaximal, characteristic
3#20287559C2116yesmaximal, direct product factor
4C2×#16810992C211yesmaximal, characteristic, complemented
5C2×#16810983C211yesmaximal, characteristic
6C2×#16810978C211yesmaximal, characteristic
7C2×#16810931C211yesmaximal, characteristic, complemented
8C2×#16810919C211yesmaximal, characteristic, complemented
9C2×#16810924C211yesmaximal, characteristic
10C2×#16810846C211yesmaximal, characteristic
11C2×#16810846C211yesmaximal, characteristic
12C2×#16810834C211yesmaximal, characteristic, complemented
13C2×#16810731C211yesmaximal, characteristic, complemented
14C2×#16810725C211yesmaximal, characteristic
15C2×C4×Dic212C211yesmaximal, characteristic, complemented
16C2×C53×#446C211yesmaximal, characteristic, complemented
17C22×Dic212C2211yescharacteristic
18C22×Dic212C2211yescharacteristic
19C22×#11719913C2211yescharacteristic
20#16811351—24no—
21#16811351C2218yescomplemented
22#16811346—24no—
23#16811346C2218yes—
24C2×#13133217C2211yescharacteristic
25C2×#13133217C2211yescharacteristic
26C2×#13133215—21no—
27C2×#13133212—21no—
28C2×#13133212—21no—
29C2×#13133209C2211yescharacteristic
30C2×#13133209C2211yescharacteristic
31C2×#13133207—21no—
32C2×#13133207—21no—
33C2×#13133205C2211yescharacteristic
34C2×#13133205C2211yescharacteristic
35C2×#13133193—21no—
36C2×C4×Dic106C2211yescharacteristic
37C2×C4×Dic106C2211yescharacteristic
38C2×C4×Dic106C2211yescharacteristic
39C2×C4×Dic106C2211yescharacteristic
40C2×C4×Dic106C2211yescharacteristic
41C2×#13133182—21no—
42C2×C4×D212C2211yescharacteristic
43C2×#13133175—21no—
44#16810992C2218yescomplemented
45#16810983C2218yes—
46#16810978C2218yes—
47#16810931C2218yescomplemented
48#16810924C2218yes—
49#16810919C2218yescomplemented
50#16810846C2218yes—
51#16810846C2218yes—
52#16810834C2218yescomplemented
53#16810731C2218yescomplemented
54#16810725C2218yes—
55C4×Dic212C2218yescomplemented
56C2×#13133151C2211yescharacteristic
57C2×#13133151C2211yescharacteristic
58C2×#13133149C2211yescharacteristic
59C2×#13133142C2211yescharacteristic
60C2×#13133142C2211yescharacteristic
61C2×#13133142C2211yescharacteristic
62C2×#13133142C2211yescharacteristic
63C2×#13133142C2211yescharacteristic
64C2×#13133142C2211yescharacteristic
65C2×#13133142C2211yescharacteristic
66C2×#13133139C2211yescharacteristic
67C2×#13133139C2211yescharacteristic
68C2×#13133139C2211yescharacteristic
69C2×C4×Q8×C53C2211yescharacteristic
70C53×#446C2218yescomplemented
71C2×C4⋊C8×C53C2211yescharacteristic
72C2×C4⋊C8×C53C2211yescharacteristic
73C2×C4⋊C8×C53C2211yescharacteristic
74C2×#97×C53C2211yescharacteristic
75C2×#97×C53C2211yescharacteristic
76C2×C4×C8×C53C2211yescharacteristic
77C22×Dic106—21no—
78C22×Dic106C2311yescharacteristic
79C22×Dic106C2311yescharacteristic
80C22×Dic106C2311yescharacteristic
81C22×D212C2311yescharacteristic
82C22×C4×D53—21no—
83C2×Dic212—24no—
84C2×Dic212—24no—
85C2×Dic212C2314yes—
86C2×Dic212C2314yes—
87C2×#11719913—24no—
88C2×#11719913C2314yes—
89#13133217—22no—
90#13133217—22no—
91#13133217C2314yes—
92#13133217C2314yes—
93#13133215—28no—
94#13133212—28no—
95#13133212—28no—
96#13133209—22no—
97#13133209—22no—
98#13133209C2314yes—
99#13133209C2314yes—
100#13133207—28no—
101#13133207—28no—
102#13133205—22no—
103#13133205—22no—
104#13133205C2314yes—
105#13133205C2314yes—
106#13133193—28no—
107C4×Dic106—22no—
108C4×Dic106—22no—
109C4×Dic106—22no—
110C4×Dic106—22no—
111C4×Dic106—22no—
112C4×Dic106C2314yes—
113C4×Dic106C2314yes—
114C4×Dic106C2314yes—
115C4×Dic106C2314yes—
116C4×Dic106C2314yes—
117#13133182—28no—
118C4×D212—22no—
119C4×D212C2314yes—
120#13133175—28no—
121C2×C4⋊Dic53—21no—
122C2×C4⋊Dic53—21no—
123C2×C4⋊Dic53—21no—
124C2×C4⋊Dic53C2311yescharacteristic
125C2×C4⋊Dic53C2311yescharacteristic
126C2×C4⋊Dic53C2311yescharacteristic
127C2×C4⋊Dic53C2311yescharacteristic
128C2×#11719919—21no—
129C2×#11719919—21no—
130C2×#11719919—21no—
131C2×#11719919—21no—
132C2×#11719919—21no—
133C2×#11719919—21no—
134C2×#11719919—21no—
135C2×#11719919—21no—
136C2×#11719919—21no—
137C2×#11719921—21no—
138C2×#11719921—21no—
139C2×#11719921—21no—
140C2×#11719921—21no—
141C2×#11719921—21no—
142C2×C4×Dic53—21no—
143C2×C4×Dic53—21no—
144C2×C4×Dic53—21no—
145C2×C4×Dic53—21no—
146C2×C4×Dic53—21no—
147#13133151C2314yes—
148#13133151C2314yes—
149#13133149C2314yes—
150#13133142C2314yes—
151#13133142C2314yes—
152#13133142C2314yes—
153#13133142C2314yes—
154#13133142C2314yes—
155#13133142C2314yes—
156#13133142C2314yes—
157#13133139C2314yes—
158#13133139C2314yes—
159#13133139C2314yes—
160C22×Q8×C53D411yescharacteristic
161C22×C8×C53C2311yescharacteristic
162C22×C8×C53C2311yescharacteristic
163C22×C8×C53C2311yescharacteristic
164C22×C8×C53C2311yescharacteristic
165C4×Q8×C53D414yes—
166C4×Q8×C53C2314yes—
167C2×C4⋊C4×C53D411yescharacteristic
168C2×C4⋊C4×C53D411yescharacteristic
169C2×C4⋊C4×C53D411yescharacteristic
170C2×C42×C53C2311yescharacteristic
171C2×C42×C53C2311yescharacteristic
172C2×C42×C53C2311yescharacteristic
173C4⋊C8×C53C2314yes—
174C4⋊C8×C53C2314yes—
175C4⋊C8×C53C2314yes—
176#97×C53C2314yes—
177#97×C53C2314yes—
178C4×C8×C53C2314yes—
179C23×D53—21no—
180C2×Q8×C53—42no—
181C2×Q8×C53C2×D414yes—
182C22×C4×C53C2×D411yescharacteristic
183C22×C4×C53C2×D411yescharacteristic
184C22×C4×C53C2×D411yescharacteristic
185C22×C4×C53C2×D411yescharacteristic
186C22×C4×C53C2×D411yescharacteristic
187C22×C4×C53C2×D411yescharacteristic
188C22×C4×C53C2411yescharacteristic
189C22×Dic53—21no—
190C22×Dic53—21no—
191C22×Dic53—21no—
192C22×Dic53—21no—
193C22×Dic53—21no—
194C22×Dic53—21no—
195C22×Dic53—21no—
196C2×D212—22no—
197C2×D212—22no—
198C2×D212—21no—
199C2×D212C2412yes—
200C2×C4×D53—24no—
201C2×C4×D53—44no—
202C2×Dic106—21no—
203C2×Dic106—22no—
204C2×Dic106—22no—
205C2×Dic106—22no—
206C2×Dic106—22no—
207C2×Dic106—22no—
208C2×Dic106—24no—
209C2×Dic106—21no—
210C2×Dic106—21no—
211C2×Dic106—44no—
212C2×Dic106#4114yes—
213C2×Dic106C2412yes—
214C2×Dic106C2412yes—
215C2×Dic106C2412yes—
216C2×C8×C53—22no—
217C2×C8×C53—22no—
218C2×C8×C53—22no—
219C2×C8×C53—22no—
220C2×C8×C53C2412yes—
221C2×C8×C53C2412yes—
222C2×C8×C53C2412yes—
223C2×C8×C53C2412yes—
224C4⋊C4×C53C2×D414yes—
225C4⋊C4×C53C2×D414yes—
226C4⋊C4×C53C2×D414yes—
227C42×C53C2×D412yes—
228C42×C53C2×D412yes—
229C42×C53C2×D412yes—
230C42×C53C2412yes—
231C42×C53C2412yes—
232C42×C53C2412yes—
233#11719921—24no—
234#11719921—24no—
235#11719921—24no—
236#11719921—24no—
237#11719921—24no—
238C4⋊Dic53—24no—
239C4⋊Dic53—24no—
240C4⋊Dic53—24no—
241C4⋊Dic53—21no—
242C4⋊Dic53—21no—
243C4⋊Dic53—21no—
244C4⋊Dic53—21no—
245C4⋊Dic53C2412yes—
246C4⋊Dic53C2412yes—
247C4⋊Dic53C2412yes—
248C4⋊Dic53C2412yes—
249#11719919—24no—
250#11719919—24no—
251#11719919—24no—
252#11719919—24no—
253#11719919—24no—
254#11719919—24no—
255#11719919—24no—
256#11719919—24no—
257#11719919—24no—
258C4×Dic53—24no—
259C4×Dic53—24no—
260C4×Dic53—24no—
261C4×Dic53—24no—
262C4×Dic53—24no—
263Dic212—28no—
264Dic212—28no—
265#11719913—28no—
266C23×C53C22×D411yescharacteristic
267C22×D53—22no—
268C22×D53—42no—
269C22×D53—42no—
270C22×D53—42no—
271Q8×C53—44no—
272C2×C4×C53—22no—
273C2×C4×C53—22no—
274C2×C4×C53—22no—
275C2×C4×C53—22no—
276C2×C4×C53—22no—
277C2×C4×C53—22no—
278C2×C4×C53C22×D412yes—
279C2×C4×C53C22×D412yes—
280C2×C4×C53C22×D412yes—
281C2×C4×C53C22×D412yes—
282C2×C4×C53C22×D412yes—
283C2×C4×C53C22×D412yes—
284C2×C4×C53C22×D411yescharacteristic
285C2×C4×C53C2×#4112yes—
286C2×C4×C532−1+412yes—
287C2×C4×C53C2511yescharacteristic
288C2×Dic53—24no—
289C2×Dic53—22no—
290C2×Dic53—22no—
291C2×Dic53—22no—
292C2×Dic53—22no—
293C2×Dic53—22no—
294C2×Dic53—22no—
295C2×Dic53—22no—
296C2×Dic53—42no—
297C2×Dic53—42no—
298C2×Dic53—42no—
299C2×Dic53—42no—
300C2×Dic53—42no—
301C2×Dic53—42no—
302D212—22no—
303D212—22no—
304D212—42no—
305C4×D53—48no—
306Dic106—24no—
307Dic106—22no—
308Dic106—22no—
309Dic106—22no—
310Dic106—22no—
311Dic106—22no—
312Dic106—48no—
313Dic106—42no—
314Dic106—42no—
315Dic106C2×#4114yes—
316C8×C53—22no—
317C8×C53—22no—
318C8×C53—22no—
319C8×C53—22no—
320C2×#3377—531nomaximal, Sylow
321C22×C53#54812yes—
322C22×C53#57512yes—
323C22×C53#57812yes—
324C22×C53C23×D411yescharacteristic
325C2×D53—42no—
326C2×D53—42no—
327C2×D53—42no—
328C2×D53—84no—
329C4×C53—22no—
330C4×C53—22no—
331C4×C53—22no—
332C4×C53—22no—
333C4×C53—22no—
334C4×C53—22no—
335C4×C53#54812yes—
336C4×C53C22×#4111yescharacteristic
337C4×C53C2×2−1+411yescharacteristic
338Dic53—24no—
339Dic53—42no—
340Dic53—42no—
341Dic53—42no—
342Dic53—42no—
343Dic53—42no—
344Dic53—42no—
345C2×#557—531no—
346C2×#556—531no—
347#3377—5316no—
348C2×#491—531no—
349C2×#489—531no—
350C2×#488—531no—
351C2×#479—531no—
352C2×#477—531no—
353C2×#478—531no—
354C2×#464—531no—
355C2×#464—531no—
356C2×#462—531no—
357C2×#446D5311yescharacteristic, complemented
358C2×#441—531no—
359C2×#440—531no—
360C2×C4×Q16—531no—
361C2×C53#337714yescomplemented
362C2×C53C2×#54811yescharacteristic
363C2×C53C2×#57511yescharacteristic
364C2×C53C2×#57811yescharacteristic
365D53—82no—
366C22×Q16—531no—
367C22×Q16—531no—
368C22×SD16—531no—
369#557—538no—
370#557—1064no—
371#556—538no—
372#556—1064no—
373C2×C4⋊Q8—531no—
374C2×C4⋊Q8—531no—
375C2×C4⋊Q8—1061no—
376C2×#126—1061no—
377C2×#126—1061no—
378C2×#125—531no—
379C2×#125—531no—
380C2×#125—1061no—
381C2×#125—1061no—
382C2×#124—531no—
383C2×#124—531no—
384C2×C22⋊Q8—1061no—
385C2×C4×Q8—531no—
386C2×C4×Q8—531no—
387C2×C4×Q8—531no—
388C2×C4×Q8—531no—
389C2×C4×Q8—531no—
390C2×C4×Q8—1061no—
391C2×C4×Q8C2×D5311yescharacteristic
392C2×C4×D4—531no—
393C2×#117—1061no—
394#491—538no—
395#489—538no—
396#488—538no—
397#479—538no—
398#478—538no—
399#477—538no—
400#464—538no—
401#464—538no—
402#462—538no—
403#446C2×D5318yescomplemented
404#441—538no—
405#440—538no—
406C4×Q16—538no—
407C2×#107—531no—
408C2×#107—531no—
409C2×#106—531no—
410C2×C4⋊C8C2×D5311yescharacteristic
411C2×C4⋊C8C2×D5311yescharacteristic
412C2×C4⋊C8C2×D5311yescharacteristic
413C2×#103—531no—
414C2×#103—531no—
415C2×#103—531no—
416C2×#103—531no—
417C2×#103—531no—
418C2×#103—531no—
419C2×#103—531no—
420C2×#102—531no—
421C2×#102—531no—
422C2×#102—531no—
423C2×#97C2×D5311yescharacteristic
424C2×#97C2×D5311yescharacteristic
425C2×C4×C8C2×D5311yescharacteristic
426C53C2×#337711yescharacteristic, complemented, Sylow
427C22×Q8—531no—
428C22×Q8—531no—
429C22×Q8—531no—
430C22×Q8—1061no—
431C22×Q8D21211yescharacteristic
432C22×D4—531no—
433C23×C4—1061no—
434C2×Q16—534no—
435C2×Q16—534no—
436C2×Q16—1064no—
437C2×Q16—1064no—
438C2×SD16—534no—
439C2×SD16—1064no—
440C22×C8C22×D5311yescharacteristic
441C22×C8C22×D5311yescharacteristic
442C22×C8C22×D5311yescharacteristic
443C22×C8C22×D5311yescharacteristic
444C4⋊Q8—534no—
445C4⋊Q8—534no—
446C4⋊Q8—1068no—
447C4⋊Q8—1062no—
448C4⋊Q8—1062no—
449#126—1068no—
450#126—1068no—
451#125—534no—
452#125—534no—
453#125—1068no—
454#125—1068no—
455#125—1062no—
456#125—1062no—
457#124—534no—
458#124—534no—
459#124—1062no—
460#124—1062no—
461C22⋊Q8—1068no—
462C4×Q8—534no—
463C4×Q8—534no—
464C4×Q8—534no—
465C4×Q8—534no—
466C4×Q8—534no—
467C4×Q8—1068no—
468C4×Q8—1062no—
469C4×Q8—1062no—
470C4×Q8—1062no—
471C4×Q8—1062no—
472C4×Q8—1062no—
473C4×Q8D21214yes—
474C4×Q8C22×D5314yes—
475C4×D4—534no—
476C4×D4—1062no—
477#117—1068no—
478C2×C4⋊C4—531no—
479C2×C4⋊C4—531no—
480C2×C4⋊C4—531no—
481C2×C4⋊C4—531no—
482C2×C4⋊C4—1061no—
483C2×C4⋊C4—1061no—
484C2×C4⋊C4—1061no—
485C2×C4⋊C4—1061no—
486C2×C4⋊C4—1061no—
487C2×C4⋊C4—1061no—
488C2×C4⋊C4—1061no—
489C2×C4⋊C4—1061no—
490C2×C4⋊C4—1061no—
491C2×C4⋊C4—1061no—
492C2×C4⋊C4—1061no—
493C2×C4⋊C4—1061no—
494C2×C4⋊C4D21211yescharacteristic
495C2×C4⋊C4D21211yescharacteristic
496C2×C4⋊C4D21211yescharacteristic
497C2×C22⋊C4—1061no—
498C2×C22⋊C4—1061no—
499C2×C22⋊C4—1061no—
500C2×C22⋊C4—1061no—
501C2×C22⋊C4—1061no—
502C2×C42—1061no—
503C2×C42—1061no—
504C2×C42—1061no—
505C2×C42—1061no—
506C2×C42—1061no—
507C2×C42C22×D5311yescharacteristic
508C2×C42C22×D5311yescharacteristic
509C2×C42C22×D5311yescharacteristic
510#107—534no—
511#107—534no—
512#106—534no—
513C4⋊C8C22×D5314yes—
514C4⋊C8C22×D5314yes—
515C4⋊C8C22×D5314yes—
516#103—534no—
517#103—534no—
518#103—534no—
519#103—534no—
520#103—534no—
521#103—534no—
522#103—534no—
523#102—534no—
524#102—534no—
525#102—534no—
526#97C22×D5314yes—
527#97C22×D5314yes—
528C4×C8C22×D5314yes—
529C24—1061no—
530C2×Q8—42no—
531C2×Q8—534no—
532C2×Q8—532no—
533C2×Q8—532no—
534C2×Q8—532no—
535C2×Q8—1061no—
536C2×Q8—1061no—
537C2×Q8—1061no—
538C2×Q8—1064no—
539C2×Q8—1062no—
540C2×Q8—1062no—
541C2×Q8—1062no—
542C2×Q8—1062no—
543C2×Q8—1062no—
544C2×Q8—2124no—
545C2×Q8C2×D21214yes—
546C2×D4—532no—
547C2×D4—1061no—
548C2×D4—1062no—
549C2×D4—1062no—
550C22×C4—1061no—
551C22×C4—1061no—
552C22×C4—1061no—
553C22×C4—1061no—
554C22×C4—1061no—
555C22×C4—1061no—
556C22×C4—1061no—
557C22×C4—1064no—
558C22×C4—2124no—
559C22×C4C2×D21211yescharacteristic
560C22×C4C2×D21211yescharacteristic
561C22×C4C2×D21211yescharacteristic
562C22×C4C2×D21211yescharacteristic
563C22×C4C2×D21211yescharacteristic
564C22×C4C2×D21211yescharacteristic
565C22×C4C23×D5311yescharacteristic
566Q16—1068no—
567Q16—1068no—
568SD16—1068no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8C23×D5312yes—
574C2×C8C23×D5312yes—
575C2×C8C23×D5312yes—
576C2×C8C23×D5312yes—
577C4⋊C4—532no—
578C4⋊C4—532no—
579C4⋊C4—532no—
580C4⋊C4—532no—
581C4⋊C4—1061no—
582C4⋊C4—1061no—
583C4⋊C4—1061no—
584C4⋊C4—1061no—
585C4⋊C4—1064no—
586C4⋊C4—1064no—
587C4⋊C4—1064no—
588C4⋊C4—1064no—
589C4⋊C4—1064no—
590C4⋊C4—1064no—
591C4⋊C4—1064no—
592C4⋊C4—1064no—
593C4⋊C4—1064no—
594C4⋊C4—1064no—
595C4⋊C4—1064no—
596C4⋊C4—1064no—
597C4⋊C4C2×D21214yes—
598C4⋊C4C2×D21214yes—
599C4⋊C4C2×D21214yes—
600C22⋊C4—1064no—
601C22⋊C4—1064no—
602C22⋊C4—1064no—
603C22⋊C4—1064no—
604C22⋊C4—1064no—
605C42—1064no—
606C42—1064no—
607C42—1064no—
608C42—1064no—
609C42—1064no—
610C42C2×D21212yes—
611C42C2×D21212yes—
612C42C2×D21212yes—
613C42C23×D5312yes—
614C42C23×D5312yes—
615C42C23×D5312yes—
616C23—1062no—
617C23—2122no—
618C23—2122no—
619C23—2122no—
620C23C22×D21211yescharacteristic
621Q8—44no—
622Q8—534no—
623Q8—1064no—
624Q8—1062no—
625Q8—1062no—
626Q8—1062no—
627Q8—1062no—
628Q8—1062no—
629Q8—2128no—
630Q8—2122no—
631Q8—2122no—
632D4—1062no—
633D4—1062no—
634D4—2122no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—1064no—
642C2×C4—1062no—
643C2×C4—1062no—
644C2×C4—1062no—
645C2×C4—1062no—
646C2×C4—1062no—
647C2×C4—1062no—
648C2×C4—1062no—
649C2×C4—2128no—
650C2×C4—2122no—
651C2×C4—2122no—
652C2×C4—2122no—
653C2×C4—2122no—
654C2×C4—2122no—
655C2×C4—2122no—
656C2×C4C22×D21212yes—
657C2×C4C22×D21212yes—
658C2×C4C22×D21212yes—
659C2×C4C22×D21212yes—
660C2×C4C22×D21212yes—
661C2×C4C22×D21212yes—
662C2×C4C22×D21211yescharacteristic
663C2×C4#41×D5312yes—
664C2×C4#1313326512yes—
665C2×C4C24×D5311yescharacteristic
666C8—22no—
667C8—22no—
668C8—22no—
669C8—22no—
670C22—4244no—
671C22—2122no—
672C22—2122no—
673C22—2122no—
674C22#1681128512yes—
675C22#1681142312yes—
676C22#1681144012yes—
677C22C23×D21211yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—1064no—
685C4—2122no—
686C4—2122no—
687C4—2122no—
688C4—2122no—
689C4—2122no—
690C4—2122no—
691C4#1681128512yes—
692C4C2×#41×D5311yescharacteristic
693C4C2×#1313326511yescharacteristic
694C2—4242no—
695C2#2028755914yesdirect product factor
696C2C2×#1681128511yescharacteristic
697C2C2×#1681142311yescharacteristic
698C2C2×#1681144011yescharacteristic
subgroupG/H
centerC23C22×D212
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC2×C53×#446C2
socleC23×C53C22×D4
prime radicalC22×D212C23
hypercenterC2×#446D53
hypocenterC53C2×#3377
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
1. C2×#16811351C2semidirect
3. #20287559C2direct (N × H)
4. C2×#16810992C2semidirect
7. C2×#16810931C2semidirect
8. C2×#16810919C2semidirect
12. C2×#16810834C2semidirect
13. C2×#16810731C2semidirect
15. C2×C4×Dic212C2semidirect
16. C2×C53×#446C2semidirect
21. #16811351C22semidirect
44. #16810992C22semidirect
47. #16810931C22semidirect
49. #16810919C22semidirect
52. #16810834C22semidirect
53. #16810731C22semidirect
55. C4×Dic212C22semidirect
70. C53×#446C22semidirect
357. C2×#446D53semidirect
361. C2×C53#3377semidirect
403. #446C2×D53semidirect
426. C53C2×#3377semidirect
695. C2#20287559direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168113512
C2×#168113462
#202875592
C2×#168109922
C2×#168109832
C2×#168109782
C2×#168109312
C2×#168109192
C2×#168109242
C2×#168108462
C2×#168108342
C2×#168107312
C2×#168107252
C2×C4×Dic2122
C2×C53×#4462
C2×#337753