Finite Group Databasebeta

← C2×#11737204 #14234286

Subgroups — C2×#11737204 #14234286

Order 1792.

1854 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×Q8×Dic14C211yesmaximal, characteristic, complemented
2C2×#90230C211yesmaximal, characteristic
3C2×C7×#440C211yesmaximal, characteristic
4C2×#89936C211yesmaximal, characteristic
5C2×SD16×Dic7C211yesmaximal, characteristic
6C2×#89794C211yesmaximal, characteristic, complemented
7C2×#89779C211yesmaximal, characteristic
8#11737204C2116yesmaximal, direct product factor
9C2×#89648C211yesmaximal, characteristic, complemented
10C2×#89646C211yesmaximal, characteristic, complemented
11C2×#89571C211yesmaximal, characteristic, complemented
12C2×#89566C211yesmaximal, characteristic, complemented
13C2×#89533C211yesmaximal, characteristic
14C2×#89531C211yesmaximal, characteristic
15C2×#89474C211yesmaximal, characteristic, complemented
16C2×#89473C211yesmaximal, characteristic, complemented
17C22×C7×SD16C2211yescharacteristic
18C2×C4×C7×Q8C2211yescharacteristic
19C2×C4×C7×D4C2211yescharacteristic
20C2×Q8×Dic7C2211yescharacteristic
21C2×Q8×Dic7C2211yescharacteristic
22C2×D4×Dic7C2211yescharacteristic
23C2×D4×Dic7C2211yescharacteristic
24C2×#6487—21no—
25C22×Dic7⋊C4—21no—
26Q8×Dic14—24no—
27Q8×Dic14C2218yescomplemented
28#90230—24no—
29#90230C2218yes—
30C2×#6453C2211yescharacteristic
31C2×#6451—21no—
32C2×#6451—21no—
33C2×#6451C2211yescharacteristic
34C2×#6451C2211yescharacteristic
35C2×#6451C2211yescharacteristic
36C2×#6441—21no—
37C2×#6441—21no—
38C2×#6433C2211yescharacteristic
39C2×#6432—21no—
40C2×#6432C2211yescharacteristic
41C2×C4×Dic14—21no—
42C2×C4×Dic14C2211yescharacteristic
43C7×#440C2218yes—
44C2×C7×#107C2211yescharacteristic
45C2×C7×#103C2211yescharacteristic
46C2×C7×#102C2211yescharacteristic
47C2×C7×#97C2211yescharacteristic
48C2×#6409C2211yescharacteristic
49C2×#6409C2211yescharacteristic
50C2×#6406C2211yescharacteristic
51C2×#6406C2211yescharacteristic
52#89936C2218yes—
53SD16×Dic7C2218yes—
54C2×#6392C2211yescharacteristic
55C2×#6392C2211yescharacteristic
56C2×#6391C2211yescharacteristic
57C2×#6391C2211yescharacteristic
58C2×#6389C2211yescharacteristic
59C2×Dic7⋊C8C2211yescharacteristic
60C2×Dic7⋊C8C2211yescharacteristic
61C2×C8×Dic7C2211yescharacteristic
62#89794C2218yescomplemented
63#89779C2218yes—
64C2×#6382C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×#6381C2211yescharacteristic
67C2×#6381C2211yescharacteristic
68C2×C4⋊(C7⋊C8)C2211yescharacteristic
69#89648C2218yescomplemented
70#89646C2218yescomplemented
71#89571C2218yescomplemented
72#89566C2218yescomplemented
73#89533C2218yes—
74#89531C2218yes—
75#89474C2218yescomplemented
76#89473C2218yescomplemented
77C2×#3385—71nomaximal, Sylow
78C22×C7×Q8C2311yescharacteristic
79C22×C7×D4C2311yescharacteristic
80C23×C4×C7—21no—
81C23×Dic7—21no—
82C23×Dic7—21no—
83C22×Dic14—21no—
84C22×Dic14—21no—
85C22×Dic14—21no—
86C22×Dic14—21no—
87C22×Dic14D411yescharacteristic
88C2×C7×SD16Q818yescomplemented
89C2×C7×SD16C2314yes—
90C22×C7×C8C2311yescharacteristic
91C22×C7×C8C2311yescharacteristic
92C4×C7×Q8—22no—
93C4×C7×Q8C2314yes—
94C4×C7×D4—22no—
95C4×C7×D4C2314yes—
96C2×C7×C4⋊C4—21no—
97C2×C7×C4⋊C4C2311yescharacteristic
98C2×C7×C4⋊C4C2311yescharacteristic
99C2×C7×C22⋊C4—21no—
100C2×C42×C7—21no—
101C2×C42×C7C2311yescharacteristic
102C2×C22⋊Dic7—21no—
103C2×C22⋊Dic7—21no—
104Q8×Dic7—22no—
105Q8×Dic7—22no—
106Q8×Dic7C2314yes—
107Q8×Dic7C2314yes—
108D4×Dic7—22no—
109D4×Dic7—22no—
110D4×Dic7C2314yes—
111D4×Dic7C2314yes—
112C2×C4⋊Dic7—21no—
113C2×C4⋊Dic7—21no—
114C2×C4⋊Dic7—21no—
115C2×C4⋊Dic7—21no—
116C2×C4⋊Dic7D411yescharacteristic
117C2×C4⋊Dic7C2311yescharacteristic
118C2×C4⋊Dic7C2311yescharacteristic
119C2×C4⋊Dic7C2311yescharacteristic
120C2×C4⋊Dic7C2311yescharacteristic
121#6487—28no—
122C2×Dic7⋊C4—21no—
123C2×Dic7⋊C4—21no—
124C2×Dic7⋊C4—21no—
125C2×Dic7⋊C4—21no—
126C2×Dic7⋊C4—21no—
127C2×Dic7⋊C4—21no—
128C2×Dic7⋊C4—28no—
129C2×Dic7⋊C4D411yescharacteristic
130C2×Dic7⋊C4D411yescharacteristic
131C2×C4×Dic7—21no—
132C2×C4×Dic7—21no—
133C2×C4×Dic7C2311yescharacteristic
134C2×C4×Dic7C2311yescharacteristic
135C22×C7⋊C8C2311yescharacteristic
136C22×C7⋊C8C2311yescharacteristic
137#6453—22no—
138#6453C2314yes—
139#6451—28no—
140#6451—28no—
141#6451—22no—
142#6451—22no—
143#6451—22no—
144#6451C2314yes—
145#6451C2314yes—
146#6451C2314yes—
147#6441—28no—
148#6441—28no—
149#6433—22no—
150#6433C2314yes—
151#6432—22no—
152#6432—28no—
153#6432C2314yes—
154C4×Dic14—28no—
155C4×Dic14D414yes—
156C4×Dic14C2314yes—
157C7×#107C2314yes—
158C7×#103C2314yes—
159C7×#102C2314yes—
160C7×#97C2314yes—
161#6409C2314yes—
162#6409C2314yes—
163#6406C2314yes—
164#6406C2314yes—
165#6392C2314yes—
166#6392C2314yes—
167#6391C2314yes—
168#6391C2314yes—
169#6389C2314yes—
170Dic7⋊C8C2314yes—
171Dic7⋊C8C2314yes—
172C8×Dic7C2314yes—
173#6382C2314yes—
174#6381C2314yes—
175#6381C2314yes—
176#6381C2314yes—
177C4⋊(C7⋊C8)C2314yes—
178C2×Q82—71no—
179C2×#554—71no—
180#3385—716no—
181C2×#501—71no—
182C2×#501—71no—
183C2×#500—71no—
184C2×#479—71no—
185C2×#479—71no—
186C2×#477—71no—
187C2×#476—71no—
188C2×#474—71no—
189C2×#474—71no—
190C2×#446—71no—
191C2×#440—71no—
192C2×#440D711yescharacteristic
193C2×C4×SD16—71no—
194C24×C7—21no—
195C2×C7×Q8—21no—
196C2×C7×Q8—22no—
197C2×C7×Q8C2×Q814yes—
198C2×C7×Q8C2412yes—
199C2×C7×D4—21no—
200C2×C7×D4—22no—
201C2×C7×D4C2×Q814yes—
202C2×C7×D4C2412yes—
203C22×C4×C7—21no—
204C22×C4×C7—21no—
205C22×C4×C7—21no—
206C22×C4×C7—24no—
207C22×C4×C7—82no—
208C22×C4×C7C2×D411yescharacteristic
209C22×C4×C7C2×D411yescharacteristic
210C22×C4×C7C2411yescharacteristic
211C22×Dic7—21no—
212C22×Dic7—21no—
213C22×Dic7—21no—
214C22×Dic7—21no—
215C22×Dic7—24no—
216C22×Dic7—24no—
217C22×Dic7—44no—
218C22×Dic7—82no—
219C22×Dic7C2×D411yescharacteristic
220C22×Dic7C2×D411yescharacteristic
221C22×Dic7C2×D411yescharacteristic
222C22×Dic7C2×D411yescharacteristic
223C2×Dic14—24no—
224C2×Dic14—24no—
225C2×Dic14—24no—
226C2×Dic14—24no—
227C2×Dic14—24no—
228C2×Dic14—82no—
229C2×Dic14—82no—
230C2×Dic14—82no—
231C2×Dic14—82no—
232C2×Dic14C2×D414yes—
233C7×SD16C2×Q8116yescomplemented
234C2×C7×C8—22no—
235C2×C7×C8C2×Q814yes—
236C2×C7×C8C2412yes—
237C2×C7×C8C2412yes—
238C7×C4⋊C4—24no—
239C7×C4⋊C4—21no—
240C7×C4⋊C4—21no—
241C7×C4⋊C4C2412yes—
242C7×C4⋊C4C2412yes—
243C7×C22⋊C4—24no—
244C42×C7—24no—
245C42×C7C2×D412yes—
246C42×C7C2412yes—
247C22⋊Dic7—24no—
248C22⋊Dic7—24no—
249C4⋊Dic7—24no—
250C4⋊Dic7—21no—
251C4⋊Dic7—21no—
252C4⋊Dic7—21no—
253C4⋊Dic7—21no—
254C4⋊Dic7—24no—
255C4⋊Dic7—24no—
256C4⋊Dic7—24no—
257C4⋊Dic7C2×D414yes—
258C4⋊Dic7C2412yes—
259C4⋊Dic7C2412yes—
260C4⋊Dic7C2412yes—
261C4⋊Dic7C2412yes—
262Dic7⋊C4—24no—
263Dic7⋊C4—24no—
264Dic7⋊C4—24no—
265Dic7⋊C4—24no—
266Dic7⋊C4—24no—
267Dic7⋊C4—24no—
268Dic7⋊C4C2×D414yes—
269Dic7⋊C4C2×D414yes—
270C4×Dic7—24no—
271C4×Dic7—24no—
272C4×Dic7C2×D412yes—
273C4×Dic7C2×D412yes—
274C4×Dic7C2412yes—
275C4×Dic7C2412yes—
276C2×C7⋊C8—22no—
277C2×C7⋊C8—22no—
278C2×C7⋊C8C2412yes—
279C2×C7⋊C8C2412yes—
280C22×SD16C2×D711yescharacteristic
281Q82—78no—
282Q82—144no—
283#554—78no—
284#554—144no—
285C2×C4⋊Q8—71no—
286C2×C4⋊Q8—71no—
287C2×C4⋊Q8—71no—
288C2×C4⋊Q8—71no—
289C2×C4⋊Q8—141no—
290C2×C4⋊Q8—141no—
291C2×C4⋊Q8—141no—
292C2×#125—71no—
293C2×#125—71no—
294C2×C22⋊Q8—141no—
295C2×C22⋊Q8—141no—
296C2×C22⋊Q8—141no—
297C2×C4×Q8—71no—
298C2×C4×Q8—71no—
299C2×C4×Q8—71no—
300C2×C4×Q8—141no—
301C2×C4×Q8C2×D711yescharacteristic
302C2×C4×D4—71no—
303C2×C4×D4—71no—
304C2×C4×D4C2×D711yescharacteristic
305C22×C4⋊C4—141no—
306#501—78no—
307#501—78no—
308#500—78no—
309#479—78no—
310#479—78no—
311#477—78no—
312#476—78no—
313#474—78no—
314#474—78no—
315#446—78no—
316#440—78no—
317#440C2×D718yes—
318C4×SD16—78no—
319C2×#107—71no—
320C2×#107—71no—
321C2×#107—71no—
322C2×#107—71no—
323C2×#107—71no—
324C2×#107C2×D711yescharacteristic
325C2×#106—71no—
326C2×#106—71no—
327C2×#106—71no—
328C2×C4⋊C8—71no—
329C2×C4⋊C8—71no—
330C2×C4⋊C8—71no—
331C2×#103—71no—
332C2×#103—71no—
333C2×#103C2×D711yescharacteristic
334C2×#102—71no—
335C2×#102—71no—
336C2×#102C2×D711yescharacteristic
337C2×#97—71no—
338C2×#97C2×D711yescharacteristic
339C2×C4×C8—71no—
340C23×C7—24no—
341C23×C7—22no—
342C23×C7—42no—
343C23×C7—42no—
344C23×C7C22×D411yescharacteristic
345C7×Q8—24no—
346C7×Q8—22no—
347C7×Q8C22×Q814yes—
348C7×D4—24no—
349C7×D4—22no—
350C7×D4C22×Q814yes—
351C2×C4×C7—24no—
352C2×C4×C7—22no—
353C2×C4×C7—22no—
354C2×C4×C7—22no—
355C2×C4×C7—22no—
356C2×C4×C7—22no—
357C2×C4×C7—42no—
358C2×C4×C7—42no—
359C2×C4×C7—84no—
360C2×C4×C7C22×D412yes—
361C2×C4×C7C22×D412yes—
362C2×C4×C7C22×D411yescharacteristic
363C2×C4×C7C22×Q812yes—
364C2×C4×C72−1+412yes—
365C2×C4×C7C2511yescharacteristic
366C2×Dic7—22no—
367C2×Dic7—22no—
368C2×Dic7—22no—
369C2×Dic7—22no—
370C2×Dic7—22no—
371C2×Dic7—22no—
372C2×Dic7—22no—
373C2×Dic7—42no—
374C2×Dic7—42no—
375C2×Dic7—42no—
376C2×Dic7—42no—
377C2×Dic7—48no—
378C2×Dic7—84no—
379C2×Dic7#13714yes—
380C2×Dic7C22×D412yes—
381C2×Dic7C22×D412yes—
382C2×Dic7C22×D412yes—
383C2×Dic7C22×D412yes—
384Dic14—28no—
385Dic14—84no—
386Dic14—84no—
387Dic14—84no—
388Dic14—84no—
389C7×C8—22no—
390C7×C8C22×Q814yes—
391C7⋊C8—22no—
392C7⋊C8—22no—
393C22×Q8—71no—
394C22×Q8—141no—
395C22×Q8—141no—
396C22×Q8—141no—
397C22×Q8—141no—
398C22×Q8C22×D711yescharacteristic
399C22×D4C22×D711yescharacteristic
400C23×C4—21no—
401C23×C4—141no—
402C23×C4—141no—
403C2×SD16Dic1418yescomplemented
404C2×SD16C22×D714yes—
405C22×C8—71no—
406C22×C8—71no—
407C22×C8C22×D711yescharacteristic
408C22×C8C22×D711yescharacteristic
409C4⋊Q8—74no—
410C4⋊Q8—74no—
411C4⋊Q8—74no—
412C4⋊Q8—74no—
413C4⋊Q8—148no—
414C4⋊Q8—142no—
415C4⋊Q8—142no—
416C4⋊Q8—142no—
417C4⋊Q8—148no—
418C4⋊Q8—148no—
419C4⋊Q8—142no—
420#125—74no—
421#125—74no—
422#125—142no—
423#125—142no—
424C22⋊Q8—148no—
425C22⋊Q8—148no—
426C22⋊Q8—148no—
427C4×Q8—22no—
428C4×Q8—74no—
429C4×Q8—74no—
430C4×Q8—74no—
431C4×Q8—74no—
432C4×Q8—148no—
433C4×Q8—142no—
434C4×Q8—142no—
435C4×Q8C22×D714yes—
436C4×D4—22no—
437C4×D4—74no—
438C4×D4—74no—
439C4×D4—142no—
440C4×D4—142no—
441C4×D4C22×D714yes—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—71no—
444C2×C4⋊C4—71no—
445C2×C4⋊C4—71no—
446C2×C4⋊C4—71no—
447C2×C4⋊C4—71no—
448C2×C4⋊C4—71no—
449C2×C4⋊C4—71no—
450C2×C4⋊C4—148no—
451C2×C4⋊C4—141no—
452C2×C4⋊C4—141no—
453C2×C4⋊C4—141no—
454C2×C4⋊C4—141no—
455C2×C4⋊C4—141no—
456C2×C4⋊C4—141no—
457C2×C4⋊C4—141no—
458C2×C4⋊C4—141no—
459C2×C4⋊C4—141no—
460C2×C4⋊C4—141no—
461C2×C4⋊C4C22×D711yescharacteristic
462C2×C4⋊C4C22×D711yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—141no—
465C2×C22⋊C4—141no—
466C2×C42—21no—
467C2×C42—71no—
468C2×C42—71no—
469C2×C42—141no—
470C2×C42—141no—
471C2×C42C22×D711yescharacteristic
472#107—74no—
473#107—74no—
474#107—74no—
475#107—74no—
476#107—74no—
477#107C22×D714yes—
478#106—74no—
479#106—74no—
480#106—74no—
481C4⋊C8—74no—
482C4⋊C8—74no—
483C4⋊C8—74no—
484#103—74no—
485#103—74no—
486#103C22×D714yes—
487#102—74no—
488#102—74no—
489#102C22×D714yes—
490#97—74no—
491#97C22×D714yes—
492C4×C8—74no—
493C22×C7—24no—
494C22×C7—48no—
495C22×C7—42no—
496C22×C7—42no—
497C22×C7D4×Q812yes—
498C22×C7C2×#13712yes—
499C22×C7#57612yes—
500C22×C7C23×D411yescharacteristic
501C4×C7—24no—
502C4×C7—22no—
503C4×C7—22no—
504C4×C7—42no—
505C4×C7—42no—
506C4×C7D4×Q812yes—
507C4×C7C23×Q811yescharacteristic
508C4×C7C2×2−1+411yescharacteristic
509Dic7—22no—
510Dic7—22no—
511Dic7—22no—
512Dic7—42no—
513Dic7—42no—
514Dic7—42no—
515Dic7—42no—
516Dic7C2×#13714yes—
517C24—21no—
518C2×Q8—21no—
519C2×Q8—22no—
520C2×Q8—74no—
521C2×Q8—144no—
522C2×Q8—144no—
523C2×Q8—144no—
524C2×Q8—144no—
525C2×Q8—144no—
526C2×Q8—562no—
527C2×Q8—562no—
528C2×Q8—562no—
529C2×Q8—562no—
530C2×Q8C2×Dic1414yes—
531C2×Q8C23×D712yes—
532C2×D4—21no—
533C2×D4—22no—
534C2×D4C2×Dic1414yes—
535C2×D4C23×D712yes—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—24no—
540C22×C4—71no—
541C22×C4—71no—
542C22×C4—71no—
543C22×C4—71no—
544C22×C4—82no—
545C22×C4—144no—
546C22×C4—144no—
547C22×C4—141no—
548C22×C4—141no—
549C22×C4—141no—
550C22×C4—141no—
551C22×C4—284no—
552C22×C4—562no—
553C22×C4D4×D711yescharacteristic
554C22×C4D4×D711yescharacteristic
555C22×C4C23×D711yescharacteristic
556SD16C2×Dic14116yescomplemented
557C2×C8—22no—
558C2×C8—72no—
559C2×C8—72no—
560C2×C8—142no—
561C2×C8—142no—
562C2×C8C2×Dic1414yes—
563C2×C8C23×D712yes—
564C2×C8C23×D712yes—
565C4⋊C4—24no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—74no—
569C4⋊C4—74no—
570C4⋊C4—74no—
571C4⋊C4—72no—
572C4⋊C4—72no—
573C4⋊C4—72no—
574C4⋊C4—72no—
575C4⋊C4—144no—
576C4⋊C4—144no—
577C4⋊C4—144no—
578C4⋊C4—144no—
579C4⋊C4—144no—
580C4⋊C4—144no—
581C4⋊C4—144no—
582C4⋊C4—144no—
583C4⋊C4—144no—
584C4⋊C4—141no—
585C4⋊C4—141no—
586C4⋊C4—141no—
587C4⋊C4—141no—
588C4⋊C4—144no—
589C4⋊C4C23×D712yes—
590C4⋊C4C23×D712yes—
591C22⋊C4—24no—
592C22⋊C4—144no—
593C22⋊C4—144no—
594C42—24no—
595C42—72no—
596C42—72no—
597C42—72no—
598C42—72no—
599C42—144no—
600C42—144no—
601C42D4×D712yes—
602C42C23×D712yes—
603C2×C7—44no—
604C2×C7#338514yescomplemented
605C2×C7C2×D4×Q811yescharacteristic
606C2×C7C22×#13711yescharacteristic
607C2×C7C2×#57611yescharacteristic
608C23—24no—
609C23—22no—
610C23—42no—
611C23—42no—
612C23C2×D4×D711yescharacteristic
613Q8—24no—
614Q8—22no—
615Q8—148no—
616Q8—564no—
617Q8—564no—
618Q8—564no—
619Q8—564no—
620Q8C22×Dic1414yes—
621D4—24no—
622D4—22no—
623D4C22×Dic1414yes—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—74no—
633C2×C4—72no—
634C2×C4—72no—
635C2×C4—72no—
636C2×C4—72no—
637C2×C4—84no—
638C2×C4—142no—
639C2×C4—142no—
640C2×C4—142no—
641C2×C4—142no—
642C2×C4—142no—
643C2×C4—142no—
644C2×C4—142no—
645C2×C4—288no—
646C2×C4—282no—
647C2×C4—282no—
648C2×C4—282no—
649C2×C4—282no—
650C2×C4—564no—
651C2×C4C22×Dic1412yes—
652C2×C4C2×D4×D712yes—
653C2×C4C2×D4×D712yes—
654C2×C4C2×D4×D711yescharacteristic
655C2×C4#655412yes—
656C2×C4C24×D711yescharacteristic
657C8—22no—
658C8—142no—
659C8—142no—
660C8C22×Dic1414yes—
661C7C2×#338511yescharacteristic, complemented, Sylow
662C22—24no—
663C22—42no—
664C22—42no—
665C22—48no—
666C22D4×Dic1412yes—
667C22#9046512yes—
668C22D7×#13712yes—
669C22C22×D4×D711yescharacteristic
670C4—22no—
671C4—22no—
672C4—24no—
673C4—42no—
674C4—42no—
675C4—74no—
676C4—142no—
677C4—142no—
678C4—142no—
679C4—282no—
680C4—282no—
681C4—282no—
682C4—282no—
683C4D4×Dic1412yes—
684C4C23×Dic1411yescharacteristic
685C4C2×#655411yescharacteristic
686C2—44no—
687C2#1173720414yesdirect product factor
688C2C2×D4×Dic1411yescharacteristic
689C2C2×#9046511yescharacteristic
690C2C2×D7×#13711yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#440C2
socleC23×C7C22×D4
prime radicalC22×C7×D4C23
hypercenterC2×#440D7
hypocenterC7C2×#3385
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
1. C2×Q8×Dic14C2semidirect
6. C2×#89794C2semidirect
8. #11737204C2direct (N × H)
9. C2×#89648C2semidirect
10. C2×#89646C2semidirect
11. C2×#89571C2semidirect
12. C2×#89566C2semidirect
15. C2×#89474C2semidirect
16. C2×#89473C2semidirect
27. Q8×Dic14C22semidirect
62. #89794C22semidirect
69. #89648C22semidirect
70. #89646C22semidirect
71. #89571C22semidirect
72. #89566C22semidirect
75. #89474C22semidirect
76. #89473C22semidirect
88. C2×C7×SD16Q8semidirect
233. C7×SD16C2×Q8semidirect
403. C2×SD16Dic14semidirect
556. SD16C2×Dic14semidirect
604. C2×C7#3385semidirect
661. C7C2×#3385semidirect
687. C2#11737204direct (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×#902302
C2×C7×#4402
C2×#899362
C2×SD16×Dic72
C2×#897942
C2×#897792
#117372042
C2×#896482
C2×#896462
C2×#895712
C2×#895662
C2×#895332
C2×#895312
C2×#894742
C2×#894732
C2×#33857