Finite Group Databasebeta

← C2×#20256232 #27096077

Subgroups — C2×#20256232 #27096077

Order 12032.

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×#15689851C211yesmaximal, characteristic, complemented
2C2×#15689846C211yesmaximal, characteristic
3#20256232C2116yesmaximal, direct product factor
4C2×#15689492C211yesmaximal, characteristic, complemented
5C2×#15689483C211yesmaximal, characteristic
6C2×#15689478C211yesmaximal, characteristic
7C2×#15689431C211yesmaximal, characteristic, complemented
8C2×#15689419C211yesmaximal, characteristic, complemented
9C2×#15689424C211yesmaximal, characteristic
10C2×#15689346C211yesmaximal, characteristic
11C2×#15689346C211yesmaximal, characteristic
12C2×#15689334C211yesmaximal, characteristic, complemented
13C2×#15689231C211yesmaximal, characteristic, complemented
14C2×#15689225C211yesmaximal, characteristic
15C2×C4×Dic188C211yesmaximal, characteristic, complemented
16C2×C47×#446C211yesmaximal, characteristic, complemented
17C22×Dic188C2211yescharacteristic
18C22×Dic188C2211yescharacteristic
19C22×#10625325C2211yescharacteristic
20#15689851—24no—
21#15689851C2218yescomplemented
22#15689846—24no—
23#15689846C2218yes—
24C2×#13094024C2211yescharacteristic
25C2×#13094024C2211yescharacteristic
26C2×#13094022—21no—
27C2×#13094019—21no—
28C2×#13094019—21no—
29C2×#13094016C2211yescharacteristic
30C2×#13094016C2211yescharacteristic
31C2×#13094014—21no—
32C2×#13094014—21no—
33C2×#13094012C2211yescharacteristic
34C2×#13094012C2211yescharacteristic
35C2×#13094000—21no—
36C2×C4×Dic94C2211yescharacteristic
37C2×C4×Dic94C2211yescharacteristic
38C2×C4×Dic94C2211yescharacteristic
39C2×C4×Dic94C2211yescharacteristic
40C2×C4×Dic94C2211yescharacteristic
41C2×#13093989—21no—
42C2×C4×D188C2211yescharacteristic
43C2×#13093982—21no—
44#15689492C2218yescomplemented
45#15689483C2218yes—
46#15689478C2218yes—
47#15689431C2218yescomplemented
48#15689424C2218yes—
49#15689419C2218yescomplemented
50#15689346C2218yes—
51#15689346C2218yes—
52#15689334C2218yescomplemented
53#15689231C2218yescomplemented
54#15689225C2218yes—
55C4×Dic188C2218yescomplemented
56C2×#13093958C2211yescharacteristic
57C2×#13093958C2211yescharacteristic
58C2×#13093956C2211yescharacteristic
59C2×#13093949C2211yescharacteristic
60C2×#13093949C2211yescharacteristic
61C2×#13093949C2211yescharacteristic
62C2×#13093949C2211yescharacteristic
63C2×#13093949C2211yescharacteristic
64C2×#13093949C2211yescharacteristic
65C2×#13093949C2211yescharacteristic
66C2×#13093946C2211yescharacteristic
67C2×#13093946C2211yescharacteristic
68C2×#13093946C2211yescharacteristic
69C2×C4×Q8×C47C2211yescharacteristic
70C47×#446C2218yescomplemented
71C2×C4⋊C8×C47C2211yescharacteristic
72C2×C4⋊C8×C47C2211yescharacteristic
73C2×C4⋊C8×C47C2211yescharacteristic
74C2×#97×C47C2211yescharacteristic
75C2×#97×C47C2211yescharacteristic
76C2×C4×C8×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94C2311yescharacteristic
79C22×Dic94C2311yescharacteristic
80C22×Dic94C2311yescharacteristic
81C22×D188C2311yescharacteristic
82C22×C4×D47—21no—
83C2×Dic188—24no—
84C2×Dic188—24no—
85C2×Dic188C2314yes—
86C2×Dic188C2314yes—
87C2×#10625325—24no—
88C2×#10625325C2314yes—
89#13094024—22no—
90#13094024—22no—
91#13094024C2314yes—
92#13094024C2314yes—
93#13094022—28no—
94#13094019—28no—
95#13094019—28no—
96#13094016—22no—
97#13094016—22no—
98#13094016C2314yes—
99#13094016C2314yes—
100#13094014—28no—
101#13094014—28no—
102#13094012—22no—
103#13094012—22no—
104#13094012C2314yes—
105#13094012C2314yes—
106#13094000—28no—
107C4×Dic94—22no—
108C4×Dic94—22no—
109C4×Dic94—22no—
110C4×Dic94—22no—
111C4×Dic94—22no—
112C4×Dic94C2314yes—
113C4×Dic94C2314yes—
114C4×Dic94C2314yes—
115C4×Dic94C2314yes—
116C4×Dic94C2314yes—
117#13093989—28no—
118C4×D188—22no—
119C4×D188C2314yes—
120#13093982—28no—
121C2×C4⋊Dic47—21no—
122C2×C4⋊Dic47—21no—
123C2×C4⋊Dic47—21no—
124C2×C4⋊Dic47C2311yescharacteristic
125C2×C4⋊Dic47C2311yescharacteristic
126C2×C4⋊Dic47C2311yescharacteristic
127C2×C4⋊Dic47C2311yescharacteristic
128C2×Dic47⋊C4—21no—
129C2×Dic47⋊C4—21no—
130C2×Dic47⋊C4—21no—
131C2×Dic47⋊C4—21no—
132C2×Dic47⋊C4—21no—
133C2×Dic47⋊C4—21no—
134C2×Dic47⋊C4—21no—
135C2×Dic47⋊C4—21no—
136C2×Dic47⋊C4—21no—
137C2×(C2×D47)⋊C4—21no—
138C2×(C2×D47)⋊C4—21no—
139C2×(C2×D47)⋊C4—21no—
140C2×(C2×D47)⋊C4—21no—
141C2×(C2×D47)⋊C4—21no—
142C2×C4×Dic47—21no—
143C2×C4×Dic47—21no—
144C2×C4×Dic47—21no—
145C2×C4×Dic47—21no—
146C2×C4×Dic47—21no—
147#13093958C2314yes—
148#13093958C2314yes—
149#13093956C2314yes—
150#13093949C2314yes—
151#13093949C2314yes—
152#13093949C2314yes—
153#13093949C2314yes—
154#13093949C2314yes—
155#13093949C2314yes—
156#13093949C2314yes—
157#13093946C2314yes—
158#13093946C2314yes—
159#13093946C2314yes—
160C22×Q8×C47D411yescharacteristic
161C22×C8×C47C2311yescharacteristic
162C22×C8×C47C2311yescharacteristic
163C22×C8×C47C2311yescharacteristic
164C22×C8×C47C2311yescharacteristic
165C4×Q8×C47D414yes—
166C4×Q8×C47C2314yes—
167C2×C4⋊C4×C47D411yescharacteristic
168C2×C4⋊C4×C47D411yescharacteristic
169C2×C4⋊C4×C47D411yescharacteristic
170C2×C42×C47C2311yescharacteristic
171C2×C42×C47C2311yescharacteristic
172C2×C42×C47C2311yescharacteristic
173C4⋊C8×C47C2314yes—
174C4⋊C8×C47C2314yes—
175C4⋊C8×C47C2314yes—
176#97×C47C2314yes—
177#97×C47C2314yes—
178C4×C8×C47C2314yes—
179C23×D47—21no—
180C2×Q8×C47—42no—
181C2×Q8×C47C2×D414yes—
182C22×C4×C47C2×D411yescharacteristic
183C22×C4×C47C2×D411yescharacteristic
184C22×C4×C47C2×D411yescharacteristic
185C22×C4×C47C2×D411yescharacteristic
186C22×C4×C47C2×D411yescharacteristic
187C22×C4×C47C2×D411yescharacteristic
188C22×C4×C47C2411yescharacteristic
189C22×Dic47—21no—
190C22×Dic47—21no—
191C22×Dic47—21no—
192C22×Dic47—21no—
193C22×Dic47—21no—
194C22×Dic47—21no—
195C22×Dic47—21no—
196C2×D188—22no—
197C2×D188—22no—
198C2×D188—21no—
199C2×D188C2412yes—
200C2×C4×D47—24no—
201C2×C4×D47—44no—
202C2×Dic94—21no—
203C2×Dic94—22no—
204C2×Dic94—22no—
205C2×Dic94—22no—
206C2×Dic94—22no—
207C2×Dic94—22no—
208C2×Dic94—24no—
209C2×Dic94—21no—
210C2×Dic94—21no—
211C2×Dic94—44no—
212C2×Dic94#4114yes—
213C2×Dic94C2412yes—
214C2×Dic94C2412yes—
215C2×Dic94C2412yes—
216C2×C8×C47—22no—
217C2×C8×C47—22no—
218C2×C8×C47—22no—
219C2×C8×C47—22no—
220C2×C8×C47C2412yes—
221C2×C8×C47C2412yes—
222C2×C8×C47C2412yes—
223C2×C8×C47C2412yes—
224C4⋊C4×C47C2×D414yes—
225C4⋊C4×C47C2×D414yes—
226C4⋊C4×C47C2×D414yes—
227C42×C47C2×D412yes—
228C42×C47C2×D412yes—
229C42×C47C2×D412yes—
230C42×C47C2412yes—
231C42×C47C2412yes—
232C42×C47C2412yes—
233(C2×D47)⋊C4—24no—
234(C2×D47)⋊C4—24no—
235(C2×D47)⋊C4—24no—
236(C2×D47)⋊C4—24no—
237(C2×D47)⋊C4—24no—
238C4⋊Dic47—24no—
239C4⋊Dic47—24no—
240C4⋊Dic47—24no—
241C4⋊Dic47—21no—
242C4⋊Dic47—21no—
243C4⋊Dic47—21no—
244C4⋊Dic47—21no—
245C4⋊Dic47C2412yes—
246C4⋊Dic47C2412yes—
247C4⋊Dic47C2412yes—
248C4⋊Dic47C2412yes—
249Dic47⋊C4—24no—
250Dic47⋊C4—24no—
251Dic47⋊C4—24no—
252Dic47⋊C4—24no—
253Dic47⋊C4—24no—
254Dic47⋊C4—24no—
255Dic47⋊C4—24no—
256Dic47⋊C4—24no—
257Dic47⋊C4—24no—
258C4×Dic47—24no—
259C4×Dic47—24no—
260C4×Dic47—24no—
261C4×Dic47—24no—
262C4×Dic47—24no—
263Dic188—28no—
264Dic188—28no—
265#10625325—28no—
266C23×C47C22×D411yescharacteristic
267C22×D47—22no—
268C22×D47—42no—
269C22×D47—42no—
270C22×D47—42no—
271Q8×C47—44no—
272C2×C4×C47—22no—
273C2×C4×C47—22no—
274C2×C4×C47—22no—
275C2×C4×C47—22no—
276C2×C4×C47—22no—
277C2×C4×C47—22no—
278C2×C4×C47C22×D412yes—
279C2×C4×C47C22×D412yes—
280C2×C4×C47C22×D412yes—
281C2×C4×C47C22×D412yes—
282C2×C4×C47C22×D412yes—
283C2×C4×C47C22×D412yes—
284C2×C4×C47C22×D411yescharacteristic
285C2×C4×C47C2×#4112yes—
286C2×C4×C472−1+412yes—
287C2×C4×C47C2511yescharacteristic
288C2×Dic47—24no—
289C2×Dic47—22no—
290C2×Dic47—22no—
291C2×Dic47—22no—
292C2×Dic47—22no—
293C2×Dic47—22no—
294C2×Dic47—22no—
295C2×Dic47—22no—
296C2×Dic47—42no—
297C2×Dic47—42no—
298C2×Dic47—42no—
299C2×Dic47—42no—
300C2×Dic47—42no—
301C2×Dic47—42no—
302D188—22no—
303D188—22no—
304D188—42no—
305C4×D47—48no—
306Dic94—24no—
307Dic94—22no—
308Dic94—22no—
309Dic94—22no—
310Dic94—22no—
311Dic94—22no—
312Dic94—48no—
313Dic94—42no—
314Dic94—42no—
315Dic94C2×#4114yes—
316C8×C47—22no—
317C8×C47—22no—
318C8×C47—22no—
319C8×C47—22no—
320C2×#3377—471nomaximal, Sylow
321C22×C47#54812yes—
322C22×C47#57512yes—
323C22×C47#57812yes—
324C22×C47C23×D411yescharacteristic
325C2×D47—42no—
326C2×D47—42no—
327C2×D47—42no—
328C2×D47—84no—
329C4×C47—22no—
330C4×C47—22no—
331C4×C47—22no—
332C4×C47—22no—
333C4×C47—22no—
334C4×C47—22no—
335C4×C47#54812yes—
336C4×C47C22×#4111yescharacteristic
337C4×C47C2×2−1+411yescharacteristic
338Dic47—24no—
339Dic47—42no—
340Dic47—42no—
341Dic47—42no—
342Dic47—42no—
343Dic47—42no—
344Dic47—42no—
345C2×#557—471no—
346C2×#556—471no—
347#3377—4716no—
348C2×#491—471no—
349C2×#489—471no—
350C2×#488—471no—
351C2×#479—471no—
352C2×#477—471no—
353C2×#478—471no—
354C2×#464—471no—
355C2×#464—471no—
356C2×#462—471no—
357C2×#446D4711yescharacteristic, complemented
358C2×#441—471no—
359C2×#440—471no—
360C2×C4×Q16—471no—
361C2×C47#337714yescomplemented
362C2×C47C2×#54811yescharacteristic
363C2×C47C2×#57511yescharacteristic
364C2×C47C2×#57811yescharacteristic
365D47—82no—
366C22×Q16—471no—
367C22×Q16—471no—
368C22×SD16—471no—
369#557—478no—
370#557—944no—
371#556—478no—
372#556—944no—
373C2×C4⋊Q8—471no—
374C2×C4⋊Q8—471no—
375C2×C4⋊Q8—941no—
376C2×#126—941no—
377C2×#126—941no—
378C2×#125—471no—
379C2×#125—471no—
380C2×#125—941no—
381C2×#125—941no—
382C2×#124—471no—
383C2×#124—471no—
384C2×C22⋊Q8—941no—
385C2×C4×Q8—471no—
386C2×C4×Q8—471no—
387C2×C4×Q8—471no—
388C2×C4×Q8—471no—
389C2×C4×Q8—471no—
390C2×C4×Q8—941no—
391C2×C4×Q8C2×D4711yescharacteristic
392C2×C4×D4—471no—
393C2×#117—941no—
394#491—478no—
395#489—478no—
396#488—478no—
397#479—478no—
398#478—478no—
399#477—478no—
400#464—478no—
401#464—478no—
402#462—478no—
403#446C2×D4718yescomplemented
404#441—478no—
405#440—478no—
406C4×Q16—478no—
407C2×#107—471no—
408C2×#107—471no—
409C2×#106—471no—
410C2×C4⋊C8C2×D4711yescharacteristic
411C2×C4⋊C8C2×D4711yescharacteristic
412C2×C4⋊C8C2×D4711yescharacteristic
413C2×#103—471no—
414C2×#103—471no—
415C2×#103—471no—
416C2×#103—471no—
417C2×#103—471no—
418C2×#103—471no—
419C2×#103—471no—
420C2×#102—471no—
421C2×#102—471no—
422C2×#102—471no—
423C2×#97C2×D4711yescharacteristic
424C2×#97C2×D4711yescharacteristic
425C2×C4×C8C2×D4711yescharacteristic
426C47C2×#337711yescharacteristic, complemented, Sylow
427C22×Q8—471no—
428C22×Q8—471no—
429C22×Q8—471no—
430C22×Q8—941no—
431C22×Q8D18811yescharacteristic
432C22×D4—471no—
433C23×C4—941no—
434C2×Q16—474no—
435C2×Q16—474no—
436C2×Q16—944no—
437C2×Q16—944no—
438C2×SD16—474no—
439C2×SD16—944no—
440C22×C8C22×D4711yescharacteristic
441C22×C8C22×D4711yescharacteristic
442C22×C8C22×D4711yescharacteristic
443C22×C8C22×D4711yescharacteristic
444C4⋊Q8—474no—
445C4⋊Q8—474no—
446C4⋊Q8—948no—
447C4⋊Q8—942no—
448C4⋊Q8—942no—
449#126—948no—
450#126—948no—
451#125—474no—
452#125—474no—
453#125—948no—
454#125—948no—
455#125—942no—
456#125—942no—
457#124—474no—
458#124—474no—
459#124—942no—
460#124—942no—
461C22⋊Q8—948no—
462C4×Q8—474no—
463C4×Q8—474no—
464C4×Q8—474no—
465C4×Q8—474no—
466C4×Q8—474no—
467C4×Q8—948no—
468C4×Q8—942no—
469C4×Q8—942no—
470C4×Q8—942no—
471C4×Q8—942no—
472C4×Q8—942no—
473C4×Q8D18814yes—
474C4×Q8C22×D4714yes—
475C4×D4—474no—
476C4×D4—942no—
477#117—948no—
478C2×C4⋊C4—471no—
479C2×C4⋊C4—471no—
480C2×C4⋊C4—471no—
481C2×C4⋊C4—471no—
482C2×C4⋊C4—941no—
483C2×C4⋊C4—941no—
484C2×C4⋊C4—941no—
485C2×C4⋊C4—941no—
486C2×C4⋊C4—941no—
487C2×C4⋊C4—941no—
488C2×C4⋊C4—941no—
489C2×C4⋊C4—941no—
490C2×C4⋊C4—941no—
491C2×C4⋊C4—941no—
492C2×C4⋊C4—941no—
493C2×C4⋊C4—941no—
494C2×C4⋊C4D18811yescharacteristic
495C2×C4⋊C4D18811yescharacteristic
496C2×C4⋊C4D18811yescharacteristic
497C2×C22⋊C4—941no—
498C2×C22⋊C4—941no—
499C2×C22⋊C4—941no—
500C2×C22⋊C4—941no—
501C2×C22⋊C4—941no—
502C2×C42—941no—
503C2×C42—941no—
504C2×C42—941no—
505C2×C42—941no—
506C2×C42—941no—
507C2×C42C22×D4711yescharacteristic
508C2×C42C22×D4711yescharacteristic
509C2×C42C22×D4711yescharacteristic
510#107—474no—
511#107—474no—
512#106—474no—
513C4⋊C8C22×D4714yes—
514C4⋊C8C22×D4714yes—
515C4⋊C8C22×D4714yes—
516#103—474no—
517#103—474no—
518#103—474no—
519#103—474no—
520#103—474no—
521#103—474no—
522#103—474no—
523#102—474no—
524#102—474no—
525#102—474no—
526#97C22×D4714yes—
527#97C22×D4714yes—
528C4×C8C22×D4714yes—
529C24—941no—
530C2×Q8—42no—
531C2×Q8—474no—
532C2×Q8—472no—
533C2×Q8—472no—
534C2×Q8—472no—
535C2×Q8—941no—
536C2×Q8—941no—
537C2×Q8—941no—
538C2×Q8—944no—
539C2×Q8—942no—
540C2×Q8—942no—
541C2×Q8—942no—
542C2×Q8—942no—
543C2×Q8—942no—
544C2×Q8—1884no—
545C2×Q8C2×D18814yes—
546C2×D4—472no—
547C2×D4—941no—
548C2×D4—942no—
549C2×D4—942no—
550C22×C4—941no—
551C22×C4—941no—
552C22×C4—941no—
553C22×C4—941no—
554C22×C4—941no—
555C22×C4—941no—
556C22×C4—941no—
557C22×C4—944no—
558C22×C4—1884no—
559C22×C4C2×D18811yescharacteristic
560C22×C4C2×D18811yescharacteristic
561C22×C4C2×D18811yescharacteristic
562C22×C4C2×D18811yescharacteristic
563C22×C4C2×D18811yescharacteristic
564C22×C4C2×D18811yescharacteristic
565C22×C4C23×D4711yescharacteristic
566Q16—948no—
567Q16—948no—
568SD16—948no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8C23×D4712yes—
574C2×C8C23×D4712yes—
575C2×C8C23×D4712yes—
576C2×C8C23×D4712yes—
577C4⋊C4—472no—
578C4⋊C4—472no—
579C4⋊C4—472no—
580C4⋊C4—472no—
581C4⋊C4—944no—
582C4⋊C4—944no—
583C4⋊C4—944no—
584C4⋊C4—944no—
585C4⋊C4—944no—
586C4⋊C4—944no—
587C4⋊C4—944no—
588C4⋊C4—944no—
589C4⋊C4—944no—
590C4⋊C4—941no—
591C4⋊C4—941no—
592C4⋊C4—941no—
593C4⋊C4—941no—
594C4⋊C4—944no—
595C4⋊C4—944no—
596C4⋊C4—944no—
597C4⋊C4C2×D18814yes—
598C4⋊C4C2×D18814yes—
599C4⋊C4C2×D18814yes—
600C22⋊C4—944no—
601C22⋊C4—944no—
602C22⋊C4—944no—
603C22⋊C4—944no—
604C22⋊C4—944no—
605C42—944no—
606C42—944no—
607C42—944no—
608C42—944no—
609C42—944no—
610C42C2×D18812yes—
611C42C2×D18812yes—
612C42C2×D18812yes—
613C42C23×D4712yes—
614C42C23×D4712yes—
615C42C23×D4712yes—
616C23—942no—
617C23—1882no—
618C23—1882no—
619C23—1882no—
620C23C22×D18811yescharacteristic
621Q8—44no—
622Q8—474no—
623Q8—944no—
624Q8—942no—
625Q8—942no—
626Q8—942no—
627Q8—942no—
628Q8—942no—
629Q8—1888no—
630Q8—1882no—
631Q8—1882no—
632D4—942no—
633D4—942no—
634D4—1882no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—944no—
642C2×C4—942no—
643C2×C4—942no—
644C2×C4—942no—
645C2×C4—942no—
646C2×C4—942no—
647C2×C4—942no—
648C2×C4—942no—
649C2×C4—1888no—
650C2×C4—1882no—
651C2×C4—1882no—
652C2×C4—1882no—
653C2×C4—1882no—
654C2×C4—1882no—
655C2×C4—1882no—
656C2×C4C22×D18812yes—
657C2×C4C22×D18812yes—
658C2×C4C22×D18812yes—
659C2×C4C22×D18812yes—
660C2×C4C22×D18812yes—
661C2×C4C22×D18812yes—
662C2×C4C22×D18811yescharacteristic
663C2×C4#41×D4712yes—
664C2×C4#1309407212yes—
665C2×C4C24×D4711yescharacteristic
666C8—22no—
667C8—22no—
668C8—22no—
669C8—22no—
670C22—3764no—
671C22—1882no—
672C22—1882no—
673C22—1882no—
674C22#1568978512yes—
675C22#1568992312yes—
676C22#1568994012yes—
677C22C23×D18811yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—944no—
685C4—1882no—
686C4—1882no—
687C4—1882no—
688C4—1882no—
689C4—1882no—
690C4—1882no—
691C4#1568978512yes—
692C4C2×#41×D4711yescharacteristic
693C4C2×#1309407211yescharacteristic
694C2—3762no—
695C2#2025623214yesdirect product factor
696C2C2×#1568978511yescharacteristic
697C2C2×#1568992311yescharacteristic
698C2C2×#1568994011yescharacteristic
subgroupG/H
centerC23C22×D188
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#446C2
socleC23×C47C22×D4
prime radicalC22×D188C23
hypercenterC2×#446D47
hypocenterC47C2×#3377
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
1. C2×#15689851C2semidirect
3. #20256232C2direct (N × H)
4. C2×#15689492C2semidirect
7. C2×#15689431C2semidirect
8. C2×#15689419C2semidirect
12. C2×#15689334C2semidirect
13. C2×#15689231C2semidirect
15. C2×C4×Dic188C2semidirect
16. C2×C47×#446C2semidirect
21. #15689851C22semidirect
44. #15689492C22semidirect
47. #15689431C22semidirect
49. #15689419C22semidirect
52. #15689334C22semidirect
53. #15689231C22semidirect
55. C4×Dic188C22semidirect
70. C47×#446C22semidirect
357. C2×#446D47semidirect
361. C2×C47#3377semidirect
403. #446C2×D47semidirect
426. C47C2×#3377semidirect
695. C2#20256232direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156898512
C2×#156898462
#202562322
C2×#156894922
C2×#156894832
C2×#156894782
C2×#156894312
C2×#156894192
C2×#156894242
C2×#156893462
C2×#156893342
C2×#156892312
C2×#156892252
C2×C4×Dic1882
C2×C47×#4462
C2×#337747