Finite Group Databasebeta

← C2×#19147439 #25976396

Subgroups — C2×#19147439 #25976396

Order 11008.

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×#14583627C211yesmaximal, characteristic, complemented
2C2×#14583622C211yesmaximal, characteristic
3#19147439C2116yesmaximal, direct product factor
4C2×#14583268C211yesmaximal, characteristic, complemented
5C2×#14583259C211yesmaximal, characteristic
6C2×#14583254C211yesmaximal, characteristic
7C2×#14583207C211yesmaximal, characteristic, complemented
8C2×#14583195C211yesmaximal, characteristic, complemented
9C2×#14583200C211yesmaximal, characteristic
10C2×#14583122C211yesmaximal, characteristic
11C2×#14583122C211yesmaximal, characteristic
12C2×#14583110C211yesmaximal, characteristic, complemented
13C2×#14583007C211yesmaximal, characteristic, complemented
14C2×#14583001C211yesmaximal, characteristic
15C2×C4×Dic172C211yesmaximal, characteristic, complemented
16C2×C43×#446C211yesmaximal, characteristic, complemented
17C22×Dic172C2211yescharacteristic
18C22×Dic172C2211yescharacteristic
19C22×#10621873C2211yescharacteristic
20#14583627—24no—
21#14583627C2218yescomplemented
22#14583622—24no—
23#14583622C2218yes—
24C2×#13063325C2211yescharacteristic
25C2×#13063325C2211yescharacteristic
26C2×#13063323—21no—
27C2×#13063320—21no—
28C2×#13063320—21no—
29C2×#13063317C2211yescharacteristic
30C2×#13063317C2211yescharacteristic
31C2×#13063315—21no—
32C2×#13063315—21no—
33C2×#13063313C2211yescharacteristic
34C2×#13063313C2211yescharacteristic
35C2×#13063301—21no—
36C2×C4×Dic86C2211yescharacteristic
37C2×C4×Dic86C2211yescharacteristic
38C2×C4×Dic86C2211yescharacteristic
39C2×C4×Dic86C2211yescharacteristic
40C2×C4×Dic86C2211yescharacteristic
41C2×#13063290—21no—
42C2×C4×D172C2211yescharacteristic
43C2×#13063283—21no—
44#14583268C2218yescomplemented
45#14583259C2218yes—
46#14583254C2218yes—
47#14583207C2218yescomplemented
48#14583200C2218yes—
49#14583195C2218yescomplemented
50#14583122C2218yes—
51#14583122C2218yes—
52#14583110C2218yescomplemented
53#14583007C2218yescomplemented
54#14583001C2218yes—
55C4×Dic172C2218yescomplemented
56C2×#13063259C2211yescharacteristic
57C2×#13063259C2211yescharacteristic
58C2×#13063257C2211yescharacteristic
59C2×#13063250C2211yescharacteristic
60C2×#13063250C2211yescharacteristic
61C2×#13063250C2211yescharacteristic
62C2×#13063250C2211yescharacteristic
63C2×#13063250C2211yescharacteristic
64C2×#13063250C2211yescharacteristic
65C2×#13063250C2211yescharacteristic
66C2×#13063247C2211yescharacteristic
67C2×#13063247C2211yescharacteristic
68C2×#13063247C2211yescharacteristic
69C2×C4×Q8×C43C2211yescharacteristic
70C43×#446C2218yescomplemented
71C2×C4⋊C8×C43C2211yescharacteristic
72C2×C4⋊C8×C43C2211yescharacteristic
73C2×C4⋊C8×C43C2211yescharacteristic
74C2×#97×C43C2211yescharacteristic
75C2×#97×C43C2211yescharacteristic
76C2×C4×C8×C43C2211yescharacteristic
77C22×Dic86—21no—
78C22×Dic86C2311yescharacteristic
79C22×Dic86C2311yescharacteristic
80C22×Dic86C2311yescharacteristic
81C22×D172C2311yescharacteristic
82C22×C4×D43—21no—
83C2×Dic172—24no—
84C2×Dic172—24no—
85C2×Dic172C2314yes—
86C2×Dic172C2314yes—
87C2×#10621873—24no—
88C2×#10621873C2314yes—
89#13063325—22no—
90#13063325—22no—
91#13063325C2314yes—
92#13063325C2314yes—
93#13063323—28no—
94#13063320—28no—
95#13063320—28no—
96#13063317—22no—
97#13063317—22no—
98#13063317C2314yes—
99#13063317C2314yes—
100#13063315—28no—
101#13063315—28no—
102#13063313—22no—
103#13063313—22no—
104#13063313C2314yes—
105#13063313C2314yes—
106#13063301—28no—
107C4×Dic86—22no—
108C4×Dic86—22no—
109C4×Dic86—22no—
110C4×Dic86—22no—
111C4×Dic86—22no—
112C4×Dic86C2314yes—
113C4×Dic86C2314yes—
114C4×Dic86C2314yes—
115C4×Dic86C2314yes—
116C4×Dic86C2314yes—
117#13063290—28no—
118C4×D172—22no—
119C4×D172C2314yes—
120#13063283—28no—
121C2×C4⋊Dic43—21no—
122C2×C4⋊Dic43—21no—
123C2×C4⋊Dic43—21no—
124C2×C4⋊Dic43C2311yescharacteristic
125C2×C4⋊Dic43C2311yescharacteristic
126C2×C4⋊Dic43C2311yescharacteristic
127C2×C4⋊Dic43C2311yescharacteristic
128C2×Dic43⋊C4—21no—
129C2×Dic43⋊C4—21no—
130C2×Dic43⋊C4—21no—
131C2×Dic43⋊C4—21no—
132C2×Dic43⋊C4—21no—
133C2×Dic43⋊C4—21no—
134C2×Dic43⋊C4—21no—
135C2×Dic43⋊C4—21no—
136C2×Dic43⋊C4—21no—
137C2×(C2×D43)⋊C4—21no—
138C2×(C2×D43)⋊C4—21no—
139C2×(C2×D43)⋊C4—21no—
140C2×(C2×D43)⋊C4—21no—
141C2×(C2×D43)⋊C4—21no—
142C2×C4×Dic43—21no—
143C2×C4×Dic43—21no—
144C2×C4×Dic43—21no—
145C2×C4×Dic43—21no—
146C2×C4×Dic43—21no—
147#13063259C2314yes—
148#13063259C2314yes—
149#13063257C2314yes—
150#13063250C2314yes—
151#13063250C2314yes—
152#13063250C2314yes—
153#13063250C2314yes—
154#13063250C2314yes—
155#13063250C2314yes—
156#13063250C2314yes—
157#13063247C2314yes—
158#13063247C2314yes—
159#13063247C2314yes—
160C22×Q8×C43D411yescharacteristic
161C22×C8×C43C2311yescharacteristic
162C22×C8×C43C2311yescharacteristic
163C22×C8×C43C2311yescharacteristic
164C22×C8×C43C2311yescharacteristic
165C4×Q8×C43D414yes—
166C4×Q8×C43C2314yes—
167C2×C4⋊C4×C43D411yescharacteristic
168C2×C4⋊C4×C43D411yescharacteristic
169C2×C4⋊C4×C43D411yescharacteristic
170C2×C42×C43C2311yescharacteristic
171C2×C42×C43C2311yescharacteristic
172C2×C42×C43C2311yescharacteristic
173C4⋊C8×C43C2314yes—
174C4⋊C8×C43C2314yes—
175C4⋊C8×C43C2314yes—
176#97×C43C2314yes—
177#97×C43C2314yes—
178C4×C8×C43C2314yes—
179C23×D43—21no—
180C2×Q8×C43—42no—
181C2×Q8×C43C2×D414yes—
182C22×C4×C43C2×D411yescharacteristic
183C22×C4×C43C2×D411yescharacteristic
184C22×C4×C43C2×D411yescharacteristic
185C22×C4×C43C2×D411yescharacteristic
186C22×C4×C43C2×D411yescharacteristic
187C22×C4×C43C2×D411yescharacteristic
188C22×C4×C43C2411yescharacteristic
189C22×Dic43—21no—
190C22×Dic43—21no—
191C22×Dic43—21no—
192C22×Dic43—21no—
193C22×Dic43—21no—
194C22×Dic43—21no—
195C22×Dic43—21no—
196C2×D172—21no—
197C2×D172—22no—
198C2×D172—22no—
199C2×D172C2412yes—
200C2×C4×D43—24no—
201C2×C4×D43—44no—
202C2×Dic86—21no—
203C2×Dic86—22no—
204C2×Dic86—22no—
205C2×Dic86—22no—
206C2×Dic86—22no—
207C2×Dic86—22no—
208C2×Dic86—24no—
209C2×Dic86—21no—
210C2×Dic86—21no—
211C2×Dic86—44no—
212C2×Dic86#4114yes—
213C2×Dic86C2412yes—
214C2×Dic86C2412yes—
215C2×Dic86C2412yes—
216C2×C8×C43—22no—
217C2×C8×C43—22no—
218C2×C8×C43—22no—
219C2×C8×C43—22no—
220C2×C8×C43C2412yes—
221C2×C8×C43C2412yes—
222C2×C8×C43C2412yes—
223C2×C8×C43C2412yes—
224C4⋊C4×C43C2×D414yes—
225C4⋊C4×C43C2×D414yes—
226C4⋊C4×C43C2×D414yes—
227C42×C43C2×D412yes—
228C42×C43C2×D412yes—
229C42×C43C2×D412yes—
230C42×C43C2412yes—
231C42×C43C2412yes—
232C42×C43C2412yes—
233(C2×D43)⋊C4—24no—
234(C2×D43)⋊C4—24no—
235(C2×D43)⋊C4—24no—
236(C2×D43)⋊C4—24no—
237(C2×D43)⋊C4—24no—
238C4⋊Dic43—24no—
239C4⋊Dic43—24no—
240C4⋊Dic43—24no—
241C4⋊Dic43—21no—
242C4⋊Dic43—21no—
243C4⋊Dic43—21no—
244C4⋊Dic43—21no—
245C4⋊Dic43C2412yes—
246C4⋊Dic43C2412yes—
247C4⋊Dic43C2412yes—
248C4⋊Dic43C2412yes—
249Dic43⋊C4—24no—
250Dic43⋊C4—24no—
251Dic43⋊C4—24no—
252Dic43⋊C4—24no—
253Dic43⋊C4—24no—
254Dic43⋊C4—24no—
255Dic43⋊C4—24no—
256Dic43⋊C4—24no—
257Dic43⋊C4—24no—
258C4×Dic43—24no—
259C4×Dic43—24no—
260C4×Dic43—24no—
261C4×Dic43—24no—
262C4×Dic43—24no—
263Dic172—28no—
264Dic172—28no—
265#10621873—28no—
266C23×C43C22×D411yescharacteristic
267C22×D43—22no—
268C22×D43—42no—
269C22×D43—42no—
270C22×D43—42no—
271Q8×C43—44no—
272C2×C4×C43—22no—
273C2×C4×C43—22no—
274C2×C4×C43—22no—
275C2×C4×C43—22no—
276C2×C4×C43—22no—
277C2×C4×C43—22no—
278C2×C4×C43C22×D412yes—
279C2×C4×C43C22×D412yes—
280C2×C4×C43C22×D412yes—
281C2×C4×C43C22×D412yes—
282C2×C4×C43C22×D412yes—
283C2×C4×C43C22×D412yes—
284C2×C4×C43C22×D411yescharacteristic
285C2×C4×C43C2×#4112yes—
286C2×C4×C432−1+412yes—
287C2×C4×C43C2511yescharacteristic
288C2×Dic43—24no—
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—22no—
295C2×Dic43—22no—
296C2×Dic43—42no—
297C2×Dic43—42no—
298C2×Dic43—42no—
299C2×Dic43—42no—
300C2×Dic43—42no—
301C2×Dic43—42no—
302D172—22no—
303D172—22no—
304D172—42no—
305C4×D43—48no—
306Dic86—24no—
307Dic86—22no—
308Dic86—22no—
309Dic86—22no—
310Dic86—22no—
311Dic86—22no—
312Dic86—48no—
313Dic86—42no—
314Dic86—42no—
315Dic86C2×#4114yes—
316C8×C43—22no—
317C8×C43—22no—
318C8×C43—22no—
319C8×C43—22no—
320C2×#3377—431nomaximal, Sylow
321C22×C43#54812yes—
322C22×C43#57512yes—
323C22×C43#57812yes—
324C22×C43C23×D411yescharacteristic
325C2×D43—42no—
326C2×D43—42no—
327C2×D43—42no—
328C2×D43—84no—
329C4×C43—22no—
330C4×C43—22no—
331C4×C43—22no—
332C4×C43—22no—
333C4×C43—22no—
334C4×C43—22no—
335C4×C43#54812yes—
336C4×C43C22×#4111yescharacteristic
337C4×C43C2×2−1+411yescharacteristic
338Dic43—24no—
339Dic43—42no—
340Dic43—42no—
341Dic43—42no—
342Dic43—42no—
343Dic43—42no—
344Dic43—42no—
345C2×#557—431no—
346C2×#556—431no—
347#3377—4316no—
348C2×#491—431no—
349C2×#489—431no—
350C2×#488—431no—
351C2×#479—431no—
352C2×#477—431no—
353C2×#478—431no—
354C2×#464—431no—
355C2×#464—431no—
356C2×#462—431no—
357C2×#446D4311yescharacteristic, complemented
358C2×#441—431no—
359C2×#440—431no—
360C2×C4×Q16—431no—
361C2×C43#337714yescomplemented
362C2×C43C2×#54811yescharacteristic
363C2×C43C2×#57511yescharacteristic
364C2×C43C2×#57811yescharacteristic
365D43—82no—
366C22×Q16—431no—
367C22×Q16—431no—
368C22×SD16—431no—
369#557—438no—
370#557—864no—
371#556—438no—
372#556—864no—
373C2×C4⋊Q8—431no—
374C2×C4⋊Q8—431no—
375C2×C4⋊Q8—861no—
376C2×#126—861no—
377C2×#126—861no—
378C2×#125—431no—
379C2×#125—431no—
380C2×#125—861no—
381C2×#125—861no—
382C2×#124—431no—
383C2×#124—431no—
384C2×C22⋊Q8—861no—
385C2×C4×Q8—431no—
386C2×C4×Q8—431no—
387C2×C4×Q8—431no—
388C2×C4×Q8—431no—
389C2×C4×Q8—431no—
390C2×C4×Q8—861no—
391C2×C4×Q8C2×D4311yescharacteristic
392C2×C4×D4—431no—
393C2×#117—861no—
394#491—438no—
395#489—438no—
396#488—438no—
397#479—438no—
398#478—438no—
399#477—438no—
400#464—438no—
401#464—438no—
402#462—438no—
403#446C2×D4318yescomplemented
404#441—438no—
405#440—438no—
406C4×Q16—438no—
407C2×#107—431no—
408C2×#107—431no—
409C2×#106—431no—
410C2×C4⋊C8C2×D4311yescharacteristic
411C2×C4⋊C8C2×D4311yescharacteristic
412C2×C4⋊C8C2×D4311yescharacteristic
413C2×#103—431no—
414C2×#103—431no—
415C2×#103—431no—
416C2×#103—431no—
417C2×#103—431no—
418C2×#103—431no—
419C2×#103—431no—
420C2×#102—431no—
421C2×#102—431no—
422C2×#102—431no—
423C2×#97C2×D4311yescharacteristic
424C2×#97C2×D4311yescharacteristic
425C2×C4×C8C2×D4311yescharacteristic
426C43C2×#337711yescharacteristic, complemented, Sylow
427C22×Q8—431no—
428C22×Q8—431no—
429C22×Q8—431no—
430C22×Q8—861no—
431C22×Q8D17211yescharacteristic
432C22×D4—431no—
433C23×C4—861no—
434C2×Q16—434no—
435C2×Q16—434no—
436C2×Q16—864no—
437C2×Q16—864no—
438C2×SD16—434no—
439C2×SD16—864no—
440C22×C8C22×D4311yescharacteristic
441C22×C8C22×D4311yescharacteristic
442C22×C8C22×D4311yescharacteristic
443C22×C8C22×D4311yescharacteristic
444C4⋊Q8—434no—
445C4⋊Q8—434no—
446C4⋊Q8—868no—
447C4⋊Q8—862no—
448C4⋊Q8—862no—
449#126—868no—
450#126—868no—
451#125—434no—
452#125—434no—
453#125—868no—
454#125—868no—
455#125—862no—
456#125—862no—
457#124—434no—
458#124—434no—
459#124—862no—
460#124—862no—
461C22⋊Q8—868no—
462C4×Q8—434no—
463C4×Q8—434no—
464C4×Q8—434no—
465C4×Q8—434no—
466C4×Q8—434no—
467C4×Q8—868no—
468C4×Q8—862no—
469C4×Q8—862no—
470C4×Q8—862no—
471C4×Q8—862no—
472C4×Q8—862no—
473C4×Q8D17214yes—
474C4×Q8C22×D4314yes—
475C4×D4—434no—
476C4×D4—862no—
477#117—868no—
478C2×C4⋊C4—431no—
479C2×C4⋊C4—431no—
480C2×C4⋊C4—431no—
481C2×C4⋊C4—431no—
482C2×C4⋊C4—861no—
483C2×C4⋊C4—861no—
484C2×C4⋊C4—861no—
485C2×C4⋊C4—861no—
486C2×C4⋊C4—861no—
487C2×C4⋊C4—861no—
488C2×C4⋊C4—861no—
489C2×C4⋊C4—861no—
490C2×C4⋊C4—861no—
491C2×C4⋊C4—861no—
492C2×C4⋊C4—861no—
493C2×C4⋊C4—861no—
494C2×C4⋊C4D17211yescharacteristic
495C2×C4⋊C4D17211yescharacteristic
496C2×C4⋊C4D17211yescharacteristic
497C2×C22⋊C4—861no—
498C2×C22⋊C4—861no—
499C2×C22⋊C4—861no—
500C2×C22⋊C4—861no—
501C2×C22⋊C4—861no—
502C2×C42—861no—
503C2×C42—861no—
504C2×C42—861no—
505C2×C42—861no—
506C2×C42—861no—
507C2×C42C22×D4311yescharacteristic
508C2×C42C22×D4311yescharacteristic
509C2×C42C22×D4311yescharacteristic
510#107—434no—
511#107—434no—
512#106—434no—
513C4⋊C8C22×D4314yes—
514C4⋊C8C22×D4314yes—
515C4⋊C8C22×D4314yes—
516#103—434no—
517#103—434no—
518#103—434no—
519#103—434no—
520#103—434no—
521#103—434no—
522#103—434no—
523#102—434no—
524#102—434no—
525#102—434no—
526#97C22×D4314yes—
527#97C22×D4314yes—
528C4×C8C22×D4314yes—
529C24—861no—
530C2×Q8—42no—
531C2×Q8—434no—
532C2×Q8—432no—
533C2×Q8—432no—
534C2×Q8—432no—
535C2×Q8—861no—
536C2×Q8—861no—
537C2×Q8—861no—
538C2×Q8—864no—
539C2×Q8—862no—
540C2×Q8—862no—
541C2×Q8—862no—
542C2×Q8—862no—
543C2×Q8—862no—
544C2×Q8—1724no—
545C2×Q8C2×D17214yes—
546C2×D4—432no—
547C2×D4—861no—
548C2×D4—862no—
549C2×D4—862no—
550C22×C4—861no—
551C22×C4—861no—
552C22×C4—861no—
553C22×C4—861no—
554C22×C4—861no—
555C22×C4—861no—
556C22×C4—861no—
557C22×C4—864no—
558C22×C4—1724no—
559C22×C4C2×D17211yescharacteristic
560C22×C4C2×D17211yescharacteristic
561C22×C4C2×D17211yescharacteristic
562C22×C4C2×D17211yescharacteristic
563C22×C4C2×D17211yescharacteristic
564C22×C4C2×D17211yescharacteristic
565C22×C4C23×D4311yescharacteristic
566Q16—868no—
567Q16—868no—
568SD16—868no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8C23×D4312yes—
574C2×C8C23×D4312yes—
575C2×C8C23×D4312yes—
576C2×C8C23×D4312yes—
577C4⋊C4—432no—
578C4⋊C4—432no—
579C4⋊C4—432no—
580C4⋊C4—432no—
581C4⋊C4—861no—
582C4⋊C4—861no—
583C4⋊C4—861no—
584C4⋊C4—861no—
585C4⋊C4—864no—
586C4⋊C4—864no—
587C4⋊C4—864no—
588C4⋊C4—864no—
589C4⋊C4—864no—
590C4⋊C4—864no—
591C4⋊C4—864no—
592C4⋊C4—864no—
593C4⋊C4—864no—
594C4⋊C4—864no—
595C4⋊C4—864no—
596C4⋊C4—864no—
597C4⋊C4C2×D17214yes—
598C4⋊C4C2×D17214yes—
599C4⋊C4C2×D17214yes—
600C22⋊C4—864no—
601C22⋊C4—864no—
602C22⋊C4—864no—
603C22⋊C4—864no—
604C22⋊C4—864no—
605C42—864no—
606C42—864no—
607C42—864no—
608C42—864no—
609C42—864no—
610C42C2×D17212yes—
611C42C2×D17212yes—
612C42C2×D17212yes—
613C42C23×D4312yes—
614C42C23×D4312yes—
615C42C23×D4312yes—
616C23—862no—
617C23—1722no—
618C23—1722no—
619C23—1722no—
620C23C22×D17211yescharacteristic
621Q8—44no—
622Q8—434no—
623Q8—864no—
624Q8—862no—
625Q8—862no—
626Q8—862no—
627Q8—862no—
628Q8—862no—
629Q8—1728no—
630Q8—1722no—
631Q8—1722no—
632D4—862no—
633D4—862no—
634D4—1722no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—864no—
642C2×C4—862no—
643C2×C4—862no—
644C2×C4—862no—
645C2×C4—862no—
646C2×C4—862no—
647C2×C4—862no—
648C2×C4—862no—
649C2×C4—1728no—
650C2×C4—1722no—
651C2×C4—1722no—
652C2×C4—1722no—
653C2×C4—1722no—
654C2×C4—1722no—
655C2×C4—1722no—
656C2×C4C22×D17212yes—
657C2×C4C22×D17212yes—
658C2×C4C22×D17212yes—
659C2×C4C22×D17212yes—
660C2×C4C22×D17212yes—
661C2×C4C22×D17212yes—
662C2×C4C22×D17211yescharacteristic
663C2×C4#41×D4312yes—
664C2×C4#1306337312yes—
665C2×C4C24×D4311yescharacteristic
666C8—22no—
667C8—22no—
668C8—22no—
669C8—22no—
670C22—3444no—
671C22—1722no—
672C22—1722no—
673C22—1722no—
674C22#1458356112yes—
675C22#1458369912yes—
676C22#1458371612yes—
677C22C23×D17211yescharacteristic
678C4—22no—
679C4—22no—
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—864no—
685C4—1722no—
686C4—1722no—
687C4—1722no—
688C4—1722no—
689C4—1722no—
690C4—1722no—
691C4#1458356112yes—
692C4C2×#41×D4311yescharacteristic
693C4C2×#1306337311yescharacteristic
694C2—3442no—
695C2#1914743914yesdirect product factor
696C2C2×#1458356111yescharacteristic
697C2C2×#1458369911yescharacteristic
698C2C2×#1458371611yescharacteristic
subgroupG/H
centerC23C22×D172
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#446C2
socleC23×C43C22×D4
prime radicalC22×D172C23
hypercenterC2×#446D43
hypocenterC43C2×#3377
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#446

Complements

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

NH ≅ G/Ntype
1. C2×#14583627C2semidirect
3. #19147439C2direct (N × H)
4. C2×#14583268C2semidirect
7. C2×#14583207C2semidirect
8. C2×#14583195C2semidirect
12. C2×#14583110C2semidirect
13. C2×#14583007C2semidirect
15. C2×C4×Dic172C2semidirect
16. C2×C43×#446C2semidirect
21. #14583627C22semidirect
44. #14583268C22semidirect
47. #14583207C22semidirect
49. #14583195C22semidirect
52. #14583110C22semidirect
53. #14583007C22semidirect
55. C4×Dic172C22semidirect
70. C43×#446C22semidirect
357. C2×#446D43semidirect
361. C2×C43#3377semidirect
403. #446C2×D43semidirect
426. C43C2×#3377semidirect
695. C2#19147439direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145836272
C2×#145836222
#191474392
C2×#145832682
C2×#145832592
C2×#145832542
C2×#145832072
C2×#145831952
C2×#145832002
C2×#145831222
C2×#145831102
C2×#145830072
C2×#145830012
C2×C4×Dic1722
C2×C43×#4462
C2×#337743