Finite Group Databasebeta

← C2×#11738027 #14233514

Subgroups — C2×#11738027 #14233514

Order 1792.

1842 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90362C211yesmaximal, characteristic
2C2×Q8×Dic14C211yesmaximal, characteristic, complemented
3C2×C7×#464C211yesmaximal, characteristic
4C2×#89954C211yesmaximal, characteristic, complemented
5C2×#89956C211yesmaximal, characteristic, complemented
6C2×#89938C211yesmaximal, characteristic
7C2×SD16×Dic7C211yesmaximal, characteristic
8C2×#89827C211yesmaximal, characteristic
9C2×#89802C211yesmaximal, characteristic, complemented
10#11738027C2116yesmaximal, direct product factor
11C2×#89623C211yesmaximal, characteristic, complemented
12C2×#89600C211yesmaximal, characteristic, complemented
13C2×#89564C211yesmaximal, characteristic, complemented
14C2×#89563C211yesmaximal, characteristic, complemented
15C2×#89537C211yesmaximal, characteristic
16C2×#89533C211yesmaximal, characteristic
17C22×C7×Q16C2211yescharacteristic
18C22×C7×SD16C2211yescharacteristic
19C2×C7×#124C2211yescharacteristic
20C2×C4×C7×Q8C2211yescharacteristic
21C2×Q8×Dic7C2211yescharacteristic
22C2×Q8×Dic7C2211yescharacteristic
23C2×Q8×Dic7C2211yescharacteristic
24C2×#6507C2211yescharacteristic
25C22×#1144C2211yescharacteristic
26C2×#6499C2211yescharacteristic
27C2×D4×Dic7C2211yescharacteristic
28#90362—24no—
29#90362C2218yes—
30Q8×Dic14—24no—
31Q8×Dic14C2218yescomplemented
32C2×#6451—21no—
33C2×#6451—21no—
34C2×#6451C2211yescharacteristic
35C2×#6451C2211yescharacteristic
36C2×#6442—21no—
37C2×#6442—21no—
38C2×#6441—21no—
39C2×#6440—21no—
40C2×#6432—21no—
41C2×#6432C2211yescharacteristic
42C2×C4×Dic14—21no—
43C2×C4×Dic14C2211yescharacteristic
44C2×C4×Dic14C2211yescharacteristic
45C7×#464C2218yes—
46C2×C7×C4⋊C8C2211yescharacteristic
47C2×C7×#103C2211yescharacteristic
48C2×C7×#102C2211yescharacteristic
49C2×#6409C2211yescharacteristic
50C2×#6409C2211yescharacteristic
51C2×#6409C2211yescharacteristic
52C2×#6406C2211yescharacteristic
53C2×#6406C2211yescharacteristic
54#89956C2218yescomplemented
55#89954C2218yescomplemented
56#89938C2218yes—
57SD16×Dic7C2218yes—
58C2×#6391C2211yescharacteristic
59C2×#6391C2211yescharacteristic
60C2×#6390C2211yescharacteristic
61C2×#6390C2211yescharacteristic
62C2×#6389C2211yescharacteristic
63C2×Dic7⋊C8C2211yescharacteristic
64C2×Dic7⋊C8C2211yescharacteristic
65C2×C8×Dic7C2211yescharacteristic
66#89827C2218yes—
67#89802C2218yescomplemented
68C2×#6384C2211yescharacteristic
69C2×#6382C2211yescharacteristic
70C2×#6377C2211yescharacteristic
71#89623C2218yescomplemented
72#89600C2218yescomplemented
73#89564C2218yescomplemented
74#89563C2218yescomplemented
75#89537C2218yes—
76#89533C2218yes—
77C2×#3369—71nomaximal, Sylow
78C22×C7×Q8C2311yescharacteristic
79C22×C7×Q8C2311yescharacteristic
80C22×C7×D4C2311yescharacteristic
81C23×Dic7—21no—
82C22×Dic14—21no—
83C22×Dic14—21no—
84C22×Dic14—21no—
85C22×Dic14D411yescharacteristic
86C22×Dic14C2311yescharacteristic
87C2×C7×Q16—24no—
88C2×C7×Q16C2314yes—
89C2×C7×SD16—24no—
90C2×C7×SD16C2314yes—
91C22×C7×C8C2311yescharacteristic
92C22×C7×C8C2311yescharacteristic
93C7×#124—22no—
94C7×#124C2314yes—
95C4×C7×Q8—22no—
96C4×C7×Q8C2314yes—
97C2×C7×C4⋊C4—21no—
98C2×C7×C4⋊C4C2311yescharacteristic
99C2×C7×C22⋊C4—21no—
100C2×C7×C22⋊C4—21no—
101C2×C42×C7—21no—
102C2×C42×C7C2311yescharacteristic
103C2×C22⋊Dic7—21no—
104C2×C22⋊Dic7—21no—
105C2×C22⋊Dic7—21no—
106Q8×Dic7—22no—
107Q8×Dic7—22no—
108Q8×Dic7—22no—
109Q8×Dic7C2314yes—
110Q8×Dic7C2314yes—
111Q8×Dic7C2314yes—
112#6507—22no—
113#6507C2314yes—
114C2×#1144—24no—
115C2×#1144C2314yes—
116#6499—22no—
117#6499C2314yes—
118D4×Dic7—22no—
119D4×Dic7C2314yes—
120C2×C4⋊Dic7—21no—
121C2×C4⋊Dic7—21no—
122C2×C4⋊Dic7—21no—
123C2×C4⋊Dic7—21no—
124C2×C4⋊Dic7D411yescharacteristic
125C2×C4⋊Dic7C2311yescharacteristic
126C2×C4⋊Dic7C2311yescharacteristic
127C2×C4⋊Dic7C2311yescharacteristic
128C2×Dic7⋊C4—21no—
129C2×Dic7⋊C4—21no—
130C2×Dic7⋊C4—21no—
131C2×Dic7⋊C4—21no—
132C2×Dic7⋊C4—21no—
133C2×Dic7⋊C4D411yescharacteristic
134C2×Dic7⋊C4D411yescharacteristic
135C2×C4×Dic7—21no—
136C2×C4×Dic7—21no—
137C2×C4×Dic7—21no—
138C2×C4×Dic7—21no—
139C2×C4×Dic7C2311yescharacteristic
140C2×C4×Dic7C2311yescharacteristic
141C22×C7⋊C8C2311yescharacteristic
142C22×C7⋊C8C2311yescharacteristic
143#6451—28no—
144#6451—28no—
145#6451—22no—
146#6451—22no—
147#6451C2314yes—
148#6451C2314yes—
149#6442—28no—
150#6442—28no—
151#6441—28no—
152#6440—28no—
153#6432—22no—
154#6432—28no—
155#6432C2314yes—
156C4×Dic14—28no—
157C4×Dic14—22no—
158C4×Dic14D414yes—
159C4×Dic14C2314yes—
160C4×Dic14C2314yes—
161C7×C4⋊C8C2314yes—
162C7×#103C2314yes—
163C7×#102C2314yes—
164#6409C2314yes—
165#6409C2314yes—
166#6409C2314yes—
167#6406C2314yes—
168#6406C2314yes—
169#6391C2314yes—
170#6391C2314yes—
171#6390C2314yes—
172#6390C2314yes—
173#6389C2314yes—
174Dic7⋊C8C2314yes—
175Dic7⋊C8C2314yes—
176C8×Dic7C2314yes—
177#6384C2314yes—
178#6382C2314yes—
179#6377C2314yes—
180C2×Q82—71no—
181C2×#556—71no—
182#3369—716no—
183C2×#489—71no—
184C2×#489—71no—
185C2×#487—71no—
186C2×#475—71no—
187C2×#475—71no—
188C2×#476—71no—
189C2×#464—71no—
190C2×#464D711yescharacteristic
191C2×#462—71no—
192C2×#446—71no—
193C2×#441—71no—
194C2×#441—71no—
195C2×C4×SD16—71no—
196C24×C7—21no—
197C2×C7×Q8—21no—
198C2×C7×Q8—21no—
199C2×C7×Q8—22no—
200C2×C7×Q8—22no—
201C2×C7×Q8—22no—
202C2×C7×Q8#4114yes—
203C2×C7×Q8C2412yes—
204C2×C7×Q8C2412yes—
205C2×C7×D4—21no—
206C2×C7×D4—22no—
207C2×C7×D4—22no—
208C2×C7×D4C2412yes—
209C22×C4×C7—21no—
210C22×C4×C7—21no—
211C22×C4×C7—21no—
212C22×C4×C7C2×D411yescharacteristic
213C22×C4×C7C2×D411yescharacteristic
214C22×C4×C7C2411yescharacteristic
215C22×Dic7—21no—
216C22×Dic7—21no—
217C22×Dic7—21no—
218C22×Dic7—21no—
219C22×Dic7—24no—
220C22×Dic7—44no—
221C22×Dic7C2×D411yescharacteristic
222C22×Dic7C2×D411yescharacteristic
223C22×Dic7C2×D411yescharacteristic
224C22×Dic7C2×D411yescharacteristic
225C2×Dic14—24no—
226C2×Dic14—22no—
227C2×Dic14—22no—
228C2×Dic14—21no—
229C2×Dic14—24no—
230C2×Dic14—24no—
231C2×Dic14—24no—
232C2×Dic14—82no—
233C2×Dic14—82no—
234C2×Dic14—82no—
235C2×Dic14C2×D414yes—
236C2×Dic14C2412yes—
237C7×Q16—28no—
238C7×SD16—28no—
239C2×C7×C8—22no—
240C2×C7×C8—22no—
241C2×C7×C8C2412yes—
242C2×C7×C8C2412yes—
243C7×C4⋊C4—24no—
244C7×C4⋊C4—21no—
245C7×C4⋊C4C2412yes—
246C7×C22⋊C4—24no—
247C7×C22⋊C4—24no—
248C42×C7—24no—
249C42×C7C2×D412yes—
250C42×C7C2412yes—
251C22⋊Dic7—24no—
252C22⋊Dic7—24no—
253C22⋊Dic7—24no—
254#1144—28no—
255C4⋊Dic7—24no—
256C4⋊Dic7—21no—
257C4⋊Dic7—21no—
258C4⋊Dic7—21no—
259C4⋊Dic7—24no—
260C4⋊Dic7—24no—
261C4⋊Dic7—24no—
262C4⋊Dic7C2×D414yes—
263C4⋊Dic7C2412yes—
264C4⋊Dic7C2412yes—
265C4⋊Dic7C2412yes—
266Dic7⋊C4—24no—
267Dic7⋊C4—24no—
268Dic7⋊C4—24no—
269Dic7⋊C4—24no—
270Dic7⋊C4—24no—
271Dic7⋊C4C2×D414yes—
272Dic7⋊C4C2×D414yes—
273C4×Dic7—24no—
274C4×Dic7—24no—
275C4×Dic7—24no—
276C4×Dic7—24no—
277C4×Dic7C2×D412yes—
278C4×Dic7C2×D412yes—
279C4×Dic7C2412yes—
280C4×Dic7C2412yes—
281C2×C7⋊C8—22no—
282C2×C7⋊C8—22no—
283C2×C7⋊C8C2412yes—
284C2×C7⋊C8C2412yes—
285C22×Q16—71no—
286C22×Q16C2×D711yescharacteristic
287C22×SD16C2×D711yescharacteristic
288Q82—78no—
289Q82—144no—
290#556—78no—
291#556—144no—
292C2×C4⋊Q8—71no—
293C2×C4⋊Q8—71no—
294C2×C4⋊Q8—71no—
295C2×C4⋊Q8—71no—
296C2×C4⋊Q8—141no—
297C2×C4⋊Q8—141no—
298C2×C4⋊Q8—141no—
299C2×#126—141no—
300C2×#126—141no—
301C2×#124—71no—
302C2×#124C2×D711yescharacteristic
303C2×C22⋊Q8—141no—
304C2×C4×Q8—71no—
305C2×C4×Q8—71no—
306C2×C4×Q8—71no—
307C2×C4×Q8—71no—
308C2×C4×Q8—71no—
309C2×C4×Q8—141no—
310C2×C4×Q8C2×D711yescharacteristic
311C2×C4×D4—71no—
312C2×#117—141no—
313#489—78no—
314#489—78no—
315#487—78no—
316#476—78no—
317#475—78no—
318#475—78no—
319#464—78no—
320#464C2×D718yes—
321#462—78no—
322#446—78no—
323#441—78no—
324#441—78no—
325C4×SD16—78no—
326C2×#106—71no—
327C2×#106—71no—
328C2×#106—71no—
329C2×C4⋊C8—71no—
330C2×C4⋊C8—71no—
331C2×C4⋊C8C2×D711yescharacteristic
332C2×#103—71no—
333C2×#103—71no—
334C2×#103—71no—
335C2×#103—71no—
336C2×#103—71no—
337C2×#103—71no—
338C2×#103C2×D711yescharacteristic
339C2×#102—71no—
340C2×#102—71no—
341C2×#102C2×D711yescharacteristic
342C2×#97—71no—
343C2×#97—71no—
344C2×C4×C8—71no—
345C23×C7—22no—
346C23×C7—42no—
347C23×C7—42no—
348C23×C7—42no—
349C23×C7C22×D411yescharacteristic
350C7×Q8—24no—
351C7×Q8—22no—
352C7×Q8—22no—
353C7×Q8—22no—
354C7×Q8—42no—
355C7×Q8C2×#4114yes—
356C7×D4—22no—
357C7×D4—22no—
358C7×D4—42no—
359C2×C4×C7—24no—
360C2×C4×C7—22no—
361C2×C4×C7—22no—
362C2×C4×C7—22no—
363C2×C4×C7—22no—
364C2×C4×C7—22no—
365C2×C4×C7—42no—
366C2×C4×C7—42no—
367C2×C4×C7C22×D412yes—
368C2×C4×C7C22×D412yes—
369C2×C4×C7C22×D411yescharacteristic
370C2×C4×C7C2×#4112yes—
371C2×C4×C72−1+412yes—
372C2×C4×C7C2511yescharacteristic
373C2×Dic7—22no—
374C2×Dic7—22no—
375C2×Dic7—22no—
376C2×Dic7—22no—
377C2×Dic7—22no—
378C2×Dic7—22no—
379C2×Dic7—22no—
380C2×Dic7—42no—
381C2×Dic7—42no—
382C2×Dic7—42no—
383C2×Dic7—42no—
384C2×Dic7—48no—
385C2×Dic7#13714yes—
386C2×Dic7C22×D412yes—
387C2×Dic7C22×D412yes—
388C2×Dic7C22×D412yes—
389C2×Dic7C22×D412yes—
390Dic14—28no—
391Dic14—22no—
392Dic14—22no—
393Dic14—42no—
394Dic14—84no—
395Dic14—84no—
396Dic14—84no—
397C7×C8—22no—
398C7×C8—22no—
399C7⋊C8—22no—
400C7⋊C8—22no—
401C22×Q8—71no—
402C22×Q8—71no—
403C22×Q8—141no—
404C22×Q8—141no—
405C22×Q8—141no—
406C22×Q8C22×D711yescharacteristic
407C22×Q8C22×D711yescharacteristic
408C22×D4C22×D711yescharacteristic
409C23×C4—141no—
410C2×Q16—24no—
411C2×Q16—74no—
412C2×Q16—144no—
413C2×Q16C22×D714yes—
414C2×SD16—24no—
415C2×SD16C22×D714yes—
416C22×C8—71no—
417C22×C8—71no—
418C22×C8C22×D711yescharacteristic
419C22×C8C22×D711yescharacteristic
420C4⋊Q8—74no—
421C4⋊Q8—74no—
422C4⋊Q8—74no—
423C4⋊Q8—74no—
424C4⋊Q8—148no—
425C4⋊Q8—142no—
426C4⋊Q8—142no—
427C4⋊Q8—142no—
428C4⋊Q8—148no—
429C4⋊Q8—148no—
430C4⋊Q8—142no—
431#126—148no—
432#126—148no—
433#124—22no—
434#124—74no—
435#124—142no—
436#124C22×D714yes—
437C22⋊Q8—148no—
438C4×Q8—22no—
439C4×Q8—74no—
440C4×Q8—74no—
441C4×Q8—74no—
442C4×Q8—74no—
443C4×Q8—74no—
444C4×Q8—74no—
445C4×Q8—148no—
446C4×Q8—142no—
447C4×Q8—142no—
448C4×Q8—142no—
449C4×Q8—142no—
450C4×Q8C22×D714yes—
451C4×D4—74no—
452C4×D4—142no—
453#117—148no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—71no—
456C2×C4⋊C4—71no—
457C2×C4⋊C4—71no—
458C2×C4⋊C4—71no—
459C2×C4⋊C4—71no—
460C2×C4⋊C4—71no—
461C2×C4⋊C4—141no—
462C2×C4⋊C4—141no—
463C2×C4⋊C4—141no—
464C2×C4⋊C4—141no—
465C2×C4⋊C4—141no—
466C2×C4⋊C4—141no—
467C2×C4⋊C4—141no—
468C2×C4⋊C4—141no—
469C2×C4⋊C4—141no—
470C2×C4⋊C4C22×D711yescharacteristic
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—141no—
474C2×C22⋊C4—141no—
475C2×C22⋊C4—141no—
476C2×C42—21no—
477C2×C42—71no—
478C2×C42—71no—
479C2×C42—141no—
480C2×C42—141no—
481C2×C42—141no—
482C2×C42—141no—
483C2×C42C22×D711yescharacteristic
484#106—74no—
485#106—74no—
486#106—74no—
487C4⋊C8—74no—
488C4⋊C8—74no—
489C4⋊C8C22×D714yes—
490#103—74no—
491#103—74no—
492#103—74no—
493#103—74no—
494#103—74no—
495#103—74no—
496#103C22×D714yes—
497#102—74no—
498#102—74no—
499#102C22×D714yes—
500#97—74no—
501#97—74no—
502C4×C8—74no—
503C22×C7—42no—
504C22×C7—42no—
505C22×C7—42no—
506C22×C7—84no—
507C22×C7#54812yes—
508C22×C7C2×#13712yes—
509C22×C7#57712yes—
510C22×C7C23×D411yescharacteristic
511C4×C7—24no—
512C4×C7—22no—
513C4×C7—22no—
514C4×C7—42no—
515C4×C7—42no—
516C4×C7#54812yes—
517C4×C7C22×#4111yescharacteristic
518C4×C7C2×2−1+411yescharacteristic
519Dic7—22no—
520Dic7—22no—
521Dic7—22no—
522Dic7—42no—
523Dic7—42no—
524Dic7—42no—
525Dic7—42no—
526Dic7C2×#13714yes—
527C24—21no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—22no—
531C2×Q8—22no—
532C2×Q8—22no—
533C2×Q8—74no—
534C2×Q8—72no—
535C2×Q8—144no—
536C2×Q8—144no—
537C2×Q8—144no—
538C2×Q8—141no—
539C2×Q8—144no—
540C2×Q8—142no—
541C2×Q8—142no—
542C2×Q8—562no—
543C2×Q8—562no—
544C2×Q8—562no—
545C2×Q8#115914yes—
546C2×Q8C23×D712yes—
547C2×Q8C23×D712yes—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4C23×D712yes—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—71no—
556C22×C4—71no—
557C22×C4—71no—
558C22×C4—71no—
559C22×C4—144no—
560C22×C4—141no—
561C22×C4—141no—
562C22×C4—141no—
563C22×C4—141no—
564C22×C4—284no—
565C22×C4D4×D711yescharacteristic
566C22×C4D4×D711yescharacteristic
567C22×C4C23×D711yescharacteristic
568Q16—28no—
569Q16—148no—
570SD16—28no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—72no—
574C2×C8—72no—
575C2×C8—142no—
576C2×C8—142no—
577C2×C8C23×D712yes—
578C2×C8C23×D712yes—
579C4⋊C4—24no—
580C4⋊C4—21no—
581C4⋊C4—74no—
582C4⋊C4—74no—
583C4⋊C4—74no—
584C4⋊C4—72no—
585C4⋊C4—72no—
586C4⋊C4—72no—
587C4⋊C4—144no—
588C4⋊C4—144no—
589C4⋊C4—144no—
590C4⋊C4—144no—
591C4⋊C4—144no—
592C4⋊C4—144no—
593C4⋊C4—144no—
594C4⋊C4—144no—
595C4⋊C4—141no—
596C4⋊C4—141no—
597C4⋊C4—141no—
598C4⋊C4—144no—
599C4⋊C4C23×D712yes—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—144no—
603C22⋊C4—144no—
604C22⋊C4—144no—
605C42—24no—
606C42—72no—
607C42—72no—
608C42—72no—
609C42—72no—
610C42—144no—
611C42—144no—
612C42—144no—
613C42—144no—
614C42D4×D712yes—
615C42C23×D712yes—
616C2×C7—82no—
617C2×C7#336914yescomplemented
618C2×C7C2×#54811yescharacteristic
619C2×C7C22×#13711yescharacteristic
620C2×C7C2×#57711yescharacteristic
621C23—22no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23C2×D4×D711yescharacteristic
626Q8—24no—
627Q8—22no—
628Q8—22no—
629Q8—22no—
630Q8—42no—
631Q8—148no—
632Q8—142no—
633Q8—142no—
634Q8—282no—
635Q8—564no—
636Q8—564no—
637Q8—564no—
638Q8C2×#115914yes—
639D4—22no—
640D4—22no—
641D4—42no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—74no—
651C2×C4—72no—
652C2×C4—72no—
653C2×C4—72no—
654C2×C4—72no—
655C2×C4—142no—
656C2×C4—142no—
657C2×C4—142no—
658C2×C4—142no—
659C2×C4—142no—
660C2×C4—142no—
661C2×C4—142no—
662C2×C4—288no—
663C2×C4—282no—
664C2×C4—282no—
665C2×C4—282no—
666C2×C4—282no—
667C2×C4C2×D4×D712yes—
668C2×C4C2×D4×D712yes—
669C2×C4C2×D4×D711yescharacteristic
670C2×C4C2×#115912yes—
671C2×C4#655412yes—
672C2×C4C24×D711yescharacteristic
673C8—22no—
674C8—22no—
675C8—142no—
676C8—142no—
677C7C2×#336911yescharacteristic, complemented, Sylow
678C22—42no—
679C22—42no—
680C22—42no—
681C22—84no—
682C22#9028912yes—
683C22#9046112yes—
684C22D7×#13712yes—
685C22C22×D4×D711yescharacteristic
686C4—22no—
687C4—24no—
688C4—22no—
689C4—42no—
690C4—42no—
691C4—74no—
692C4—142no—
693C4—142no—
694C4—142no—
695C4—282no—
696C4—282no—
697C4—282no—
698C4—282no—
699C4#9028912yes—
700C4C22×#115911yescharacteristic
701C4C2×#655411yescharacteristic
702C2—82no—
703C2#1173802714yesdirect product factor
704C2C2×#9028911yescharacteristic
705C2C2×#9046111yescharacteristic
706C2C2×D7×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#464C2
socleC23×C7C22×D4
prime radicalC22×C7×D4C23
hypercenterC2×#464D7
hypocenterC7C2×#3369
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#464

Complements

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

NH ≅ G/Ntype
2. C2×Q8×Dic14C2semidirect
4. C2×#89954C2semidirect
5. C2×#89956C2semidirect
9. C2×#89802C2semidirect
10. #11738027C2direct (N × H)
11. C2×#89623C2semidirect
12. C2×#89600C2semidirect
13. C2×#89564C2semidirect
14. C2×#89563C2semidirect
31. Q8×Dic14C22semidirect
54. #89956C22semidirect
55. #89954C22semidirect
67. #89802C22semidirect
71. #89623C22semidirect
72. #89600C22semidirect
73. #89564C22semidirect
74. #89563C22semidirect
617. C2×C7#3369semidirect
677. C7C2×#3369semidirect
703. C2#11738027direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#903622
C2×Q8×Dic142
C2×C7×#4642
C2×#899542
C2×#899562
C2×#899382
C2×SD16×Dic72
C2×#898272
C2×#898022
#117380272
C2×#896232
C2×#896002
C2×#895642
C2×#895632
C2×#895372
C2×#895332
C2×#33697