Finite Group Databasebeta

← C2×#11737260 #14233520

Subgroups — C2×#11737260 #14233520

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×Q8×Dic14C211yesmaximal, characteristic, complemented
2C2×#90259C211yesmaximal, characteristic
3C2×C7×#441C211yesmaximal, characteristic, complemented
4C2×#89957C211yesmaximal, characteristic
5C2×#89954C211yesmaximal, characteristic, complemented
6C2×#89800C211yesmaximal, characteristic
7C2×#89792C211yesmaximal, characteristic, complemented
8#11737260C2116yesmaximal, direct product factor
9C2×#89626C211yesmaximal, characteristic, complemented
10C2×#89642C211yesmaximal, characteristic
11C2×#89567C211yesmaximal, characteristic
12C2×#89564C211yesmaximal, characteristic, complemented
13C2×#89561C211yesmaximal, characteristic, complemented
14C2×#89560C211yesmaximal, characteristic
15C2×#89486C211yesmaximal, characteristic
16C2×#89473C211yesmaximal, characteristic, complemented
17C22×C7×Q16C2211yescharacteristic
18C2×C4×C7×Q8C2211yescharacteristic
19C2×C4×C7×Q8C2211yescharacteristic
20C2×#6510C2211yescharacteristic
21C2×Q8×Dic7C2211yescharacteristic
22C2×Q8×Dic7C2211yescharacteristic
23C2×#6507C2211yescharacteristic
24C22×#1144C2211yescharacteristic
25C22×#1143C2211yescharacteristic
26#90259—24no—
27#90259C2218yes—
28Q8×Dic14—24no—
29Q8×Dic14C2218yescomplemented
30C2×#6461—21no—
31C2×#6459—21no—
32C2×#6456C2211yescharacteristic
33C2×#6451—21no—
34C2×#6451—21no—
35C2×#6451C2211yescharacteristic
36C2×#6451C2211yescharacteristic
37C2×#6450C2211yescharacteristic
38C2×#6439—21no—
39C2×#6438C2211yescharacteristic
40C2×#6435—21no—
41C2×#6432—21no—
42C2×#6432C2211yescharacteristic
43C2×C4×Dic14—21no—
44C2×C4×Dic14C2211yescharacteristic
45C7×#441C2218yescomplemented
46C2×C7×#106C2211yescharacteristic
47C2×C7×#103C2211yescharacteristic
48C2×C7×#103C2211yescharacteristic
49C2×C7×#97C2211yescharacteristic
50C2×#6409C2211yescharacteristic
51C2×#6409C2211yescharacteristic
52#89957C2218yes—
53#89954C2218yescomplemented
54C2×#6395C2211yescharacteristic
55C2×#6395C2211yescharacteristic
56C2×#6390C2211yescharacteristic
57C2×#6390C2211yescharacteristic
58C2×#6389C2211yescharacteristic
59C2×Dic7⋊C8C2211yescharacteristic
60C2×Dic7⋊C8C2211yescharacteristic
61C2×C8×Dic7C2211yescharacteristic
62#89800C2218yes—
63#89792C2218yescomplemented
64C2×#6384C2211yescharacteristic
65C2×#6383C2211yescharacteristic
66C2×#6382C2211yescharacteristic
67C2×#6382C2211yescharacteristic
68C2×C4⋊(C7⋊C8)C2211yescharacteristic
69#89642C2218yes—
70#89626C2218yescomplemented
71#89567C2218yes—
72#89564C2218yescomplemented
73#89561C2218yescomplemented
74#89560C2218yes—
75#89486C2218yes—
76#89473C2218yescomplemented
77C2×#3369—71nomaximal, Sylow
78C22×C7×Q8C2311yescharacteristic
79C22×C7×Q8C2311yescharacteristic
80C22×D28C2311yescharacteristic
81C22×C4×D7—21no—
82C22×Dic14—21no—
83C22×Dic14—21no—
84C22×Dic14—21no—
85C22×Dic14D411yescharacteristic
86C22×Dic14C2311yescharacteristic
87C2×C7×Q16—24no—
88C2×C7×Q16C2314yes—
89C22×C7×C8C2311yescharacteristic
90C22×C7×C8C2311yescharacteristic
91C4×C7×Q8—22no—
92C4×C7×Q8—22no—
93C4×C7×Q8C2314yes—
94C4×C7×Q8C2314yes—
95C2×C7×C4⋊C4—21no—
96C2×C7×C4⋊C4—21no—
97C2×C7×C4⋊C4C2311yescharacteristic
98C2×C7×C4⋊C4C2311yescharacteristic
99C2×C42×C7—21no—
100C2×C42×C7—21no—
101C2×C42×C7C2311yescharacteristic
102#6510—22no—
103#6510C2314yes—
104Q8×Dic7—22no—
105Q8×Dic7—22no—
106Q8×Dic7C2314yes—
107Q8×Dic7C2314yes—
108#6507—22no—
109#6507C2314yes—
110C2×#1144—24no—
111C2×#1144C2314yes—
112C2×#1143—24no—
113C2×#1143C2314yes—
114C2×(C2×D7)⋊C4—21no—
115C2×(C2×D7)⋊C4—21no—
116C2×(C2×D7)⋊C4—21no—
117C2×(C2×D7)⋊C4—21no—
118C2×(C2×D7)⋊C4—21no—
119C2×C4⋊Dic7—21no—
120C2×C4⋊Dic7—21no—
121C2×C4⋊Dic7—21no—
122C2×C4⋊Dic7D411yescharacteristic
123C2×C4⋊Dic7C2311yescharacteristic
124C2×C4⋊Dic7C2311yescharacteristic
125C2×Dic7⋊C4—21no—
126C2×Dic7⋊C4—21no—
127C2×Dic7⋊C4—21no—
128C2×Dic7⋊C4—21no—
129C2×Dic7⋊C4—21no—
130C2×Dic7⋊C4D411yescharacteristic
131C2×Dic7⋊C4D411yescharacteristic
132C2×C4×Dic7—21no—
133C2×C4×Dic7—21no—
134C2×C4×Dic7—21no—
135C2×C4×Dic7C2311yescharacteristic
136C2×C4×Dic7C2311yescharacteristic
137C22×C7⋊C8C2311yescharacteristic
138C22×C7⋊C8C2311yescharacteristic
139#6461—28no—
140#6459—28no—
141#6456—22no—
142#6456C2314yes—
143#6451—28no—
144#6451—28no—
145#6451—22no—
146#6451—22no—
147#6451C2314yes—
148#6451C2314yes—
149#6450—22no—
150#6450C2314yes—
151#6439—28no—
152#6438—22no—
153#6438C2314yes—
154#6435—28no—
155#6432—22no—
156#6432—28no—
157#6432C2314yes—
158C4×Dic14—28no—
159C4×Dic14D414yes—
160C4×Dic14C2314yes—
161C7×#106C2314yes—
162C7×#103C2314yes—
163C7×#103C2314yes—
164C7×#97C2314yes—
165#6409C2314yes—
166#6409C2314yes—
167#6395C2314yes—
168#6395C2314yes—
169#6390C2314yes—
170#6390C2314yes—
171#6389C2314yes—
172Dic7⋊C8C2314yes—
173Dic7⋊C8C2314yes—
174C8×Dic7C2314yes—
175#6384C2314yes—
176#6383C2314yes—
177#6382C2314yes—
178#6382C2314yes—
179C4⋊(C7⋊C8)C2314yes—
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×#464—71no—
191C2×#462—71no—
192C2×#446—71no—
193C2×#441—71no—
194C2×#441D711yescharacteristic, complemented
195C2×C4×SD16—71no—
196C23×D7—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—
205C22×C4×C7—21no—
206C22×C4×C7—21no—
207C22×C4×C7—21no—
208C22×C4×C7—21no—
209C22×C4×C7C2×D411yescharacteristic
210C22×C4×C7C2×D411yescharacteristic
211C22×C4×C7C2411yescharacteristic
212C22×Dic7—21no—
213C22×Dic7—21no—
214C22×Dic7—21no—
215C22×Dic7C2×D411yescharacteristic
216C22×Dic7C2×D411yescharacteristic
217C22×Dic7C2×D411yescharacteristic
218C22×Dic7C2×D411yescharacteristic
219C2×D28—22no—
220C2×D28—22no—
221C2×D28—21no—
222C2×D28C2412yes—
223C2×C4×D7—24no—
224C2×C4×D7—44no—
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—
238C2×C7×C8—22no—
239C2×C7×C8—22no—
240C2×C7×C8C2412yes—
241C2×C7×C8C2412yes—
242C7×C4⋊C4—21no—
243C7×C4⋊C4—24no—
244C7×C4⋊C4—21no—
245C7×C4⋊C4—24no—
246C7×C4⋊C4C2412yes—
247C7×C4⋊C4C2412yes—
248C42×C7—24no—
249C42×C7—24no—
250C42×C7C2×D412yes—
251C42×C7C2412yes—
252#1144—28no—
253#1143—28no—
254(C2×D7)⋊C4—24no—
255(C2×D7)⋊C4—24no—
256(C2×D7)⋊C4—24no—
257(C2×D7)⋊C4—24no—
258(C2×D7)⋊C4—24no—
259C4⋊Dic7—24no—
260C4⋊Dic7—21no—
261C4⋊Dic7—21no—
262C4⋊Dic7—24no—
263C4⋊Dic7—24no—
264C4⋊Dic7C2×D414yes—
265C4⋊Dic7C2412yes—
266C4⋊Dic7C2412yes—
267Dic7⋊C4—24no—
268Dic7⋊C4—24no—
269Dic7⋊C4—24no—
270Dic7⋊C4—24no—
271Dic7⋊C4—24no—
272Dic7⋊C4C2×D414yes—
273Dic7⋊C4C2×D414yes—
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×SD16—71no—
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×#124—71no—
303C2×C22⋊Q8—141no—
304C2×C4×Q8—71no—
305C2×C4×Q8—71no—
306C2×C4×Q8—71no—
307C2×C4×Q8—71no—
308C2×C4×Q8—141no—
309C2×C4×Q8C2×D711yescharacteristic
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#464—78no—
321#462—78no—
322#446—78no—
323#441—78no—
324#441C2×D718yescomplemented
325C4×SD16—78no—
326C2×#106—71no—
327C2×#106—71no—
328C2×#106C2×D711yescharacteristic
329C2×C4⋊C8—71no—
330C2×C4⋊C8—71no—
331C2×C4⋊C8—71no—
332C2×#103—71no—
333C2×#103—71no—
334C2×#103—71no—
335C2×#103—71no—
336C2×#103—71no—
337C2×#103C2×D711yescharacteristic
338C2×#103C2×D711yescharacteristic
339C2×#102—71no—
340C2×#102—71no—
341C2×#102—71no—
342C2×#97—71no—
343C2×#97C2×D711yescharacteristic
344C2×C4×C8—71no—
345C23×C7C22×D411yescharacteristic
346C22×D7—22no—
347C22×D7—42no—
348C22×D7—42no—
349C22×D7—42no—
350C7×Q8—24no—
351C7×Q8—22no—
352C7×Q8—22no—
353C7×Q8—22no—
354C7×Q8—42no—
355C7×Q8C2×#4114yes—
356C2×C4×C7—24no—
357C2×C4×C7—22no—
358C2×C4×C7—22no—
359C2×C4×C7—22no—
360C2×C4×C7—22no—
361C2×C4×C7—22no—
362C2×C4×C7—22no—
363C2×C4×C7—42no—
364C2×C4×C7—42no—
365C2×C4×C7—42no—
366C2×C4×C7C22×D412yes—
367C2×C4×C7C22×D412yes—
368C2×C4×C7C22×D411yescharacteristic
369C2×C4×C7C2×#4112yes—
370C2×C4×C72−1+412yes—
371C2×C4×C7C2511yescharacteristic
372C2×Dic7—22no—
373C2×Dic7—22no—
374C2×Dic7—22no—
375C2×Dic7—22no—
376C2×Dic7—22no—
377C2×Dic7—22no—
378C2×Dic7—42no—
379C2×Dic7—42no—
380C2×Dic7—42no—
381C2×Dic7#13714yes—
382C2×Dic7C22×D412yes—
383C2×Dic7C22×D412yes—
384C2×Dic7C22×D412yes—
385C2×Dic7C22×D412yes—
386D28—22no—
387D28—22no—
388D28—42no—
389C4×D7—48no—
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×D4—71no—
409C23×C4—141no—
410C2×Q16—24no—
411C2×Q16—74no—
412C2×Q16—144no—
413C2×Q16C22×D714yes—
414C2×SD16—74no—
415C2×SD16—144no—
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—74no—
434#124—74no—
435#124—142no—
436#124—142no—
437C22⋊Q8—148no—
438C4×Q8—22no—
439C4×Q8—22no—
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×Q8C22×D714yes—
450C4×Q8C22×D714yes—
451C4×D4—74no—
452C4×D4—142no—
453#117—148no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—21no—
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⋊C4C22×D711yescharacteristic
470C2×C4⋊C4C22×D711yescharacteristic
471C2×C22⋊C4—141no—
472C2×C22⋊C4—141no—
473C2×C22⋊C4—141no—
474C2×C22⋊C4—141no—
475C2×C22⋊C4—141no—
476C2×C42—21no—
477C2×C42—21no—
478C2×C42—71no—
479C2×C42—71no—
480C2×C42—141no—
481C2×C42—141no—
482C2×C42—141no—
483C2×C42C22×D711yescharacteristic
484#106—74no—
485#106—74no—
486#106C22×D714yes—
487C4⋊C8—74no—
488C4⋊C8—74no—
489C4⋊C8—74no—
490#103—74no—
491#103—74no—
492#103—74no—
493#103—74no—
494#103—74no—
495#103C22×D714yes—
496#103C22×D714yes—
497#102—74no—
498#102—74no—
499#102—74no—
500#97—74no—
501#97C22×D714yes—
502C4×C8—74no—
503C22×C7#54812yes—
504C22×C7C2×#13712yes—
505C22×C7#57712yes—
506C22×C7C23×D411yescharacteristic
507C2×D7—42no—
508C2×D7—42no—
509C2×D7—42no—
510C2×D7—84no—
511C4×C7—24no—
512C4×C7—22no—
513C4×C7—22no—
514C4×C7—42no—
515C4×C7—42no—
516C4×C7—42no—
517C4×C7#54812yes—
518C4×C7C22×#4111yescharacteristic
519C4×C7C2×2−1+411yescharacteristic
520Dic7—22no—
521Dic7—22no—
522Dic7—22no—
523Dic7—42no—
524Dic7—42no—
525Dic7—42no—
526Dic7C2×#13714yes—
527C24—141no—
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#115714yes—
546C2×Q8C23×D712yes—
547C2×Q8C23×D712yes—
548C2×D4—72no—
549C2×D4—142no—
550C2×D4—141no—
551C2×D4—142no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—21no—
556C22×C4—71no—
557C22×C4—71no—
558C22×C4—71no—
559C22×C4—71no—
560C22×C4—144no—
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—148no—
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—24no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—74no—
584C4⋊C4—74no—
585C4⋊C4—74no—
586C4⋊C4—72no—
587C4⋊C4—72no—
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—144no—
598C4⋊C4C23×D712yes—
599C4⋊C4C23×D712yes—
600C22⋊C4—144no—
601C22⋊C4—144no—
602C22⋊C4—144no—
603C22⋊C4—144no—
604C22⋊C4—144no—
605C42—24no—
606C42—24no—
607C42—72no—
608C42—72no—
609C42—72no—
610C42—72no—
611C42—144no—
612C42—144no—
613C42—144no—
614C42D4×D712yes—
615C42C23×D712yes—
616C2×C7#336914yescomplemented
617C2×C7C2×#54811yescharacteristic
618C2×C7C22×#13711yescharacteristic
619C2×C7C2×#57711yescharacteristic
620D7—82no—
621C23—142no—
622C23—282no—
623C23—282no—
624C23—282no—
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×#115714yes—
639D4—142no—
640D4—142no—
641D4—282no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—74no—
653C2×C4—72no—
654C2×C4—72no—
655C2×C4—72no—
656C2×C4—72no—
657C2×C4—142no—
658C2×C4—142no—
659C2×C4—142no—
660C2×C4—142no—
661C2×C4—142no—
662C2×C4—142no—
663C2×C4—288no—
664C2×C4—282no—
665C2×C4—282no—
666C2×C4—282no—
667C2×C4C2×#115712yes—
668C2×C4C2×D4×D712yes—
669C2×C4C2×D4×D712yes—
670C2×C4C2×D4×D711yescharacteristic
671C2×C4#655412yes—
672C2×C4C24×D711yescharacteristic
673C8—22no—
674C8—22no—
675C8—142no—
676C8—142no—
677C7C2×#336911yescharacteristic, complemented, Sylow
678C22—282no—
679C22—282no—
680C22—282no—
681C22—564no—
682C22#9024312yes—
683C22D7×#13712yes—
684C22#9046912yes—
685C22C22×D4×D711yescharacteristic
686C4—22no—
687C4—22no—
688C4—24no—
689C4—42no—
690C4—42no—
691C4—42no—
692C4—74no—
693C4—142no—
694C4—142no—
695C4—142no—
696C4—282no—
697C4—282no—
698C4—282no—
699C4#9024312yes—
700C4C22×#115711yescharacteristic
701C4C2×#655411yescharacteristic
702C2—562no—
703C2#1173726014yesdirect product factor
704C2C2×#9024311yescharacteristic
705C2C2×D7×#13711yescharacteristic
706C2C2×#9046911yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#441C2
socleC23×C7C22×D4
prime radicalC22×D28C23
hypercenterC2×#441D7
hypocenterC7C2×#3369
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#441

Complements

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

NH ≅ G/Ntype
1. C2×Q8×Dic14C2semidirect
3. C2×C7×#441C2semidirect
5. C2×#89954C2semidirect
7. C2×#89792C2semidirect
8. #11737260C2direct (N × H)
9. C2×#89626C2semidirect
12. C2×#89564C2semidirect
13. C2×#89561C2semidirect
16. C2×#89473C2semidirect
29. Q8×Dic14C22semidirect
45. C7×#441C22semidirect
53. #89954C22semidirect
63. #89792C22semidirect
70. #89626C22semidirect
72. #89564C22semidirect
73. #89561C22semidirect
76. #89473C22semidirect
194. C2×#441D7semidirect
324. #441C2×D7semidirect
616. C2×C7#3369semidirect
677. C7C2×#3369semidirect
703. C2#11737260direct (N × H)

Maximal subgroups

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

subgroupindex
C2×Q8×Dic142
C2×#902592
C2×C7×#4412
C2×#899572
C2×#899542
C2×#898002
C2×#897922
#117372602
C2×#896262
C2×#896422
C2×#895672
C2×#895642
C2×#895612
C2×#895602
C2×#894862
C2×#894732
C2×#33697