Finite Group Databasebeta

← C2×#11737205 #14234298

Subgroups — C2×#11737205 #14234298

Order 1792.

2006 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90260C211yesmaximal, characteristic, complemented
2C2×D4×Dic14C211yesmaximal, characteristic
3C2×C7×#440C211yesmaximal, characteristic
4C2×#89936C211yesmaximal, characteristic
5C2×SD16×Dic7C211yesmaximal, characteristic
6C2×#89793C211yesmaximal, characteristic, complemented
7C2×#89781C211yesmaximal, characteristic
8#11737205C2116yesmaximal, direct product factor
9C2×#89648C211yesmaximal, characteristic, complemented
10C2×#89646C211yesmaximal, characteristic, complemented
11C2×#89566C211yesmaximal, characteristic, complemented
12C2×#89563C211yesmaximal, characteristic, complemented
13C2×#89535C211yesmaximal, characteristic
14C2×#89531C211yesmaximal, characteristic
15C2×#89474C211yesmaximal, characteristic, complemented
16C2×#89473C211yesmaximal, characteristic, complemented
17C23×Dic14—21no—
18C22×C7×SD16C2211yescharacteristic
19C2×C4×C7×Q8C2211yescharacteristic
20C2×C4×C7×D4C2211yescharacteristic
21C2×Q8×Dic7C2211yescharacteristic
22C2×Q8×Dic7C2211yescharacteristic
23C2×D4×Dic7C2211yescharacteristic
24C2×D4×Dic7C2211yescharacteristic
25C2×#6487—21no—
26#90260—24no—
27#90260C2218yescomplemented
28D4×Dic14—24no—
29D4×Dic14C2218yes—
30C2×#6453—21no—
31C2×#6453C2211yescharacteristic
32C2×#6451—21no—
33C2×#6451C2211yescharacteristic
34C2×#6451C2211yescharacteristic
35C2×#6451C2211yescharacteristic
36C2×#6441—21no—
37C2×#6441—21no—
38C2×#6433—21no—
39C2×#6433C2211yescharacteristic
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#89793C2218yescomplemented
63#89781C2218yes—
64C2×#6382C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×#6381C2211yescharacteristic
67C2×#6381C2211yescharacteristic
68C2×C4⋊(C7⋊C8)C2211yescharacteristic
69#89648C2218yescomplemented
70#89646C2218yescomplemented
71#89566C2218yescomplemented
72#89563C2218yescomplemented
73#89535C2218yes—
74#89531C2218yes—
75#89474C2218yescomplemented
76#89473C2218yescomplemented
77C2×#3386—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×Dic14—28no—
88C22×Dic14—48no—
89C22×Dic14D411yescharacteristic
90C2×C7×SD16Q818yescomplemented
91C2×C7×SD16C2314yes—
92C22×C7×C8C2311yescharacteristic
93C22×C7×C8C2311yescharacteristic
94C4×C7×Q8—22no—
95C4×C7×Q8C2314yes—
96C4×C7×D4—22no—
97C4×C7×D4C2314yes—
98C2×C7×C4⋊C4—21no—
99C2×C7×C4⋊C4C2311yescharacteristic
100C2×C7×C4⋊C4C2311yescharacteristic
101C2×C7×C22⋊C4—21no—
102C2×C42×C7—21no—
103C2×C42×C7C2311yescharacteristic
104C2×C22⋊Dic7—21no—
105C2×C22⋊Dic7—21no—
106Q8×Dic7—22no—
107Q8×Dic7—22no—
108Q8×Dic7C2314yes—
109Q8×Dic7C2314yes—
110D4×Dic7—22no—
111D4×Dic7—22no—
112D4×Dic7C2314yes—
113D4×Dic7C2314yes—
114C2×C4⋊Dic7—21no—
115C2×C4⋊Dic7—21no—
116C2×C4⋊Dic7—21no—
117C2×C4⋊Dic7—21no—
118C2×C4⋊Dic7D411yescharacteristic
119C2×C4⋊Dic7C2311yescharacteristic
120C2×C4⋊Dic7C2311yescharacteristic
121C2×C4⋊Dic7C2311yescharacteristic
122C2×C4⋊Dic7C2311yescharacteristic
123#6487—28no—
124C2×Dic7⋊C4—21no—
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×Dic7C2311yescharacteristic
135C2×C4×Dic7C2311yescharacteristic
136C22×C7⋊C8C2311yescharacteristic
137C22×C7⋊C8C2311yescharacteristic
138#6453—28no—
139#6453—22no—
140#6453C2314yes—
141#6451—28no—
142#6451—22no—
143#6451—22no—
144#6451—22no—
145#6451C2314yes—
146#6451C2314yes—
147#6451C2314yes—
148#6441—28no—
149#6441—28no—
150#6433—22no—
151#6433—28no—
152#6433C2314yes—
153#6432—22no—
154#6432C2314yes—
155C4×Dic14—28no—
156C4×Dic14D414yes—
157C4×Dic14C2314yes—
158C7×#107C2314yes—
159C7×#103C2314yes—
160C7×#102C2314yes—
161C7×#97C2314yes—
162#6409C2314yes—
163#6409C2314yes—
164#6406C2314yes—
165#6406C2314yes—
166#6392C2314yes—
167#6392C2314yes—
168#6391C2314yes—
169#6391C2314yes—
170#6389C2314yes—
171Dic7⋊C8C2314yes—
172Dic7⋊C8C2314yes—
173C8×Dic7C2314yes—
174#6382C2314yes—
175#6381C2314yes—
176#6381C2314yes—
177#6381C2314yes—
178C4⋊(C7⋊C8)C2314yes—
179C2×#557—71no—
180C2×D4×Q8—71no—
181#3386—716no—
182C2×#501—71no—
183C2×#501—71no—
184C2×#500—71no—
185C2×#477—71no—
186C2×#477—71no—
187C2×#475—71no—
188C2×#478—71no—
189C2×#478—71no—
190C2×#474—71no—
191C2×#446—71no—
192C2×#440—71no—
193C2×#440D711yescharacteristic
194C2×C4×SD16—71no—
195C24×C7—21no—
196C2×C7×Q8—21no—
197C2×C7×Q8—22no—
198C2×C7×Q8C2×Q814yescomplemented
199C2×C7×Q8C2412yes—
200C2×C7×D4—21no—
201C2×C7×D4—22no—
202C2×C7×D4C2×Q814yes—
203C2×C7×D4C2412yes—
204C22×C4×C7—21no—
205C22×C4×C7—21no—
206C22×C4×C7—21no—
207C22×C4×C7—24no—
208C22×C4×C7—44no—
209C22×C4×C7C2×D411yescharacteristic
210C22×C4×C7C2×D411yescharacteristic
211C22×C4×C7C2411yescharacteristic
212C22×Dic7—21no—
213C22×Dic7—21no—
214C22×Dic7—21no—
215C22×Dic7—21no—
216C22×Dic7—24no—
217C22×Dic7—24no—
218C22×Dic7—44no—
219C22×Dic7—44no—
220C22×Dic7C2×D411yescharacteristic
221C22×Dic7C2×D411yescharacteristic
222C22×Dic7C2×D411yescharacteristic
223C22×Dic7C2×D411yescharacteristic
224C2×Dic14—24no—
225C2×Dic14—24no—
226C2×Dic14—24no—
227C2×Dic14—24no—
228C2×Dic14—24no—
229C2×Dic14—432no—
230C2×Dic14—44no—
231C2×Dic14—44no—
232C2×Dic14—44no—
233C2×Dic14—44no—
234C2×Dic14C2×D414yes—
235C7×SD16C2×Q8116yescomplemented
236C2×C7×C8—22no—
237C2×C7×C8C2×Q814yescomplemented
238C2×C7×C8C2412yes—
239C2×C7×C8C2412yes—
240C7×C4⋊C4—21no—
241C7×C4⋊C4—24no—
242C7×C4⋊C4—21no—
243C7×C4⋊C4C2412yes—
244C7×C4⋊C4C2412yes—
245C7×C22⋊C4—24no—
246C42×C7—24no—
247C42×C7C2×D412yes—
248C42×C7C2412yes—
249C22⋊Dic7—24no—
250C22⋊Dic7—24no—
251C4⋊Dic7—21no—
252C4⋊Dic7—21no—
253C4⋊Dic7—24no—
254C4⋊Dic7—21no—
255C4⋊Dic7—21no—
256C4⋊Dic7—24no—
257C4⋊Dic7—24no—
258C4⋊Dic7—24no—
259C4⋊Dic7C2×D414yes—
260C4⋊Dic7C2412yes—
261C4⋊Dic7C2412yes—
262C4⋊Dic7C2412yes—
263C4⋊Dic7C2412yes—
264Dic7⋊C4—24no—
265Dic7⋊C4—24no—
266Dic7⋊C4—24no—
267Dic7⋊C4—24no—
268Dic7⋊C4—24no—
269Dic7⋊C4—24no—
270Dic7⋊C4C2×D414yes—
271Dic7⋊C4C2×D414yes—
272C4×Dic7—24no—
273C4×Dic7—24no—
274C4×Dic7C2×D412yes—
275C4×Dic7C2×D412yes—
276C4×Dic7C2412yes—
277C4×Dic7C2412yes—
278C2×C7⋊C8—22no—
279C2×C7⋊C8—22no—
280C2×C7⋊C8C2412yes—
281C2×C7⋊C8C2412yes—
282C23×Q8—141no—
283C22×SD16C2×D711yescharacteristic
284#557—78no—
285#557—144no—
286D4×Q8—78no—
287D4×Q8—144no—
288C2×C4⋊Q8—71no—
289C2×C4⋊Q8—71no—
290C2×C4⋊Q8—71no—
291C2×C4⋊Q8—71no—
292C2×C4⋊Q8—141no—
293C2×#125—71no—
294C2×#125—71no—
295C2×#125—141no—
296C2×#125—141no—
297C2×C22⋊Q8—141no—
298C2×C22⋊Q8—141no—
299C2×C22⋊Q8—141no—
300C2×C4×Q8—71no—
301C2×C4×Q8—71no—
302C2×C4×Q8—71no—
303C2×C4×Q8—141no—
304C2×C4×Q8C2×D711yescharacteristic
305C2×C4×D4—71no—
306C2×C4×D4—71no—
307C2×C4×D4C2×D711yescharacteristic
308#501—78no—
309#501—78no—
310#500—78no—
311#478—78no—
312#478—78no—
313#477—78no—
314#477—78no—
315#475—78no—
316#474—78no—
317#446—78no—
318#440—78no—
319#440C2×D718yes—
320C4×SD16—78no—
321C2×#107—71no—
322C2×#107—71no—
323C2×#107—71no—
324C2×#107—71no—
325C2×#107—71no—
326C2×#107C2×D711yescharacteristic
327C2×#106—71no—
328C2×#106—71no—
329C2×#106—71no—
330C2×C4⋊C8—71no—
331C2×C4⋊C8—71no—
332C2×C4⋊C8—71no—
333C2×#103—71no—
334C2×#103—71no—
335C2×#103C2×D711yescharacteristic
336C2×#102—71no—
337C2×#102—71no—
338C2×#102C2×D711yescharacteristic
339C2×#97—71no—
340C2×#97C2×D711yescharacteristic
341C2×C4×C8—71no—
342C23×C7—24no—
343C23×C7—22no—
344C23×C7—42no—
345C23×C7—42no—
346C23×C7C22×D411yescharacteristic
347C7×Q8—24no—
348C7×Q8—22no—
349C7×Q8C22×Q814yescomplemented
350C7×D4—24no—
351C7×D4—22no—
352C7×D4C22×Q814yes—
353C2×C4×C7—24no—
354C2×C4×C7—22no—
355C2×C4×C7—22no—
356C2×C4×C7—22no—
357C2×C4×C7—22no—
358C2×C4×C7—22no—
359C2×C4×C7—48no—
360C2×C4×C7—42no—
361C2×C4×C7—42no—
362C2×C4×C7C22×D412yes—
363C2×C4×C7C22×D412yes—
364C2×C4×C7C22×D411yescharacteristic
365C2×C4×C7C22×Q812yes—
366C2×C4×C72−1+412yes—
367C2×C4×C7C2511yescharacteristic
368C2×Dic7—22no—
369C2×Dic7—22no—
370C2×Dic7—22no—
371C2×Dic7—22no—
372C2×Dic7—22no—
373C2×Dic7—22no—
374C2×Dic7—22no—
375C2×Dic7—48no—
376C2×Dic7—42no—
377C2×Dic7—42no—
378C2×Dic7—42no—
379C2×Dic7—42no—
380C2×Dic7—48no—
381C2×Dic7AGL(1,ℤ/8)14yes—
382C2×Dic7C22×D412yes—
383C2×Dic7C22×D412yes—
384C2×Dic7C22×D412yes—
385C2×Dic7C22×D412yes—
386Dic14—28no—
387Dic14—48no—
388Dic14—48no—
389Dic14—48no—
390Dic14—48no—
391C7×C8—22no—
392C7×C8C22×Q814yescomplemented
393C7⋊C8—22no—
394C7⋊C8—22no—
395C22×Q8—71no—
396C22×Q8—141no—
397C22×Q8—141no—
398C22×Q8—141no—
399C22×Q8—148no—
400C22×Q8—141no—
401C22×Q8—288no—
402C22×Q8C22×D711yescharacteristic
403C22×D4C22×D711yescharacteristic
404C23×C4—21no—
405C23×C4—141no—
406C23×C4—141no—
407C2×SD16Dic1418yescomplemented
408C2×SD16C22×D714yes—
409C22×C8—71no—
410C22×C8—71no—
411C22×C8C22×D711yescharacteristic
412C22×C8C22×D711yescharacteristic
413C4⋊Q8—74no—
414C4⋊Q8—74no—
415C4⋊Q8—74no—
416C4⋊Q8—74no—
417C4⋊Q8—142no—
418C4⋊Q8—142no—
419C4⋊Q8—142no—
420C4⋊Q8—148no—
421C4⋊Q8—142no—
422#125—74no—
423#125—74no—
424#125—148no—
425#125—142no—
426#125—148no—
427#125—142no—
428C22⋊Q8—148no—
429C22⋊Q8—148no—
430C22⋊Q8—148no—
431C4×Q8—22no—
432C4×Q8—74no—
433C4×Q8—74no—
434C4×Q8—74no—
435C4×Q8—74no—
436C4×Q8—148no—
437C4×Q8—142no—
438C4×Q8—142no—
439C4×Q8C22×D714yes—
440C4×D4—22no—
441C4×D4—74no—
442C4×D4—74no—
443C4×D4—142no—
444C4×D4—142no—
445C4×D4C22×D714yes—
446C2×C4⋊C4—21no—
447C2×C4⋊C4—71no—
448C2×C4⋊C4—71no—
449C2×C4⋊C4—71no—
450C2×C4⋊C4—71no—
451C2×C4⋊C4—71no—
452C2×C4⋊C4—71no—
453C2×C4⋊C4—71no—
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⋊C4—141no—
462C2×C4⋊C4—141no—
463C2×C4⋊C4—141no—
464C2×C4⋊C4C22×D711yescharacteristic
465C2×C4⋊C4C22×D711yescharacteristic
466C2×C22⋊C4—21no—
467C2×C22⋊C4—141no—
468C2×C22⋊C4—141no—
469C2×C42—21no—
470C2×C42—71no—
471C2×C42—71no—
472C2×C42—141no—
473C2×C42—141no—
474C2×C42C22×D711yescharacteristic
475#107—74no—
476#107—74no—
477#107—74no—
478#107—74no—
479#107—74no—
480#107C22×D714yes—
481#106—74no—
482#106—74no—
483#106—74no—
484C4⋊C8—74no—
485C4⋊C8—74no—
486C4⋊C8—74no—
487#103—74no—
488#103—74no—
489#103C22×D714yes—
490#102—74no—
491#102—74no—
492#102C22×D714yes—
493#97—74no—
494#97C22×D714yes—
495C4×C8—74no—
496C22×C7—24no—
497C22×C7—48no—
498C22×C7—42no—
499C22×C7—42no—
500C22×C7D4×Q812yes—
501C22×C7C2×AGL(1,ℤ/8)12yes—
502C22×C7#57812yes—
503C22×C7C23×D411yescharacteristic
504C4×C7—24no—
505C4×C7—22no—
506C4×C7—22no—
507C4×C7—42no—
508C4×C7—42no—
509C4×C7D4×Q812yes—
510C4×C7C23×Q811yescharacteristic
511C4×C7C2×2−1+411yescharacteristic
512Dic7—22no—
513Dic7—22no—
514Dic7—22no—
515Dic7—42no—
516Dic7—42no—
517Dic7—42no—
518Dic7—42no—
519Dic7C2×AGL(1,ℤ/8)14yes—
520C24—21no—
521C2×Q8—21no—
522C2×Q8—22no—
523C2×Q8—74no—
524C2×Q8—144no—
525C2×Q8—144no—
526C2×Q8—144no—
527C2×Q8—144no—
528C2×Q8—144no—
529C2×Q8—284no—
530C2×Q8—284no—
531C2×Q8—284no—
532C2×Q8—284no—
533C2×Q8—2832no—
534C2×Q8C2×Dic1414yescomplemented
535C2×Q8C23×D712yes—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4C2×Dic1414yes—
539C2×D4C23×D712yes—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—24no—
544C22×C4—44no—
545C22×C4—71no—
546C22×C4—71no—
547C22×C4—71no—
548C22×C4—71no—
549C22×C4—144no—
550C22×C4—144no—
551C22×C4—141no—
552C22×C4—141no—
553C22×C4—141no—
554C22×C4—141no—
555C22×C4—284no—
556C22×C4—284no—
557C22×C4D4×D711yescharacteristic
558C22×C4D4×D711yescharacteristic
559C22×C4C23×D711yescharacteristic
560SD16C2×Dic14116yescomplemented
561C2×C8—22no—
562C2×C8—72no—
563C2×C8—72no—
564C2×C8—142no—
565C2×C8—142no—
566C2×C8C2×Dic1414yescomplemented
567C2×C8C23×D712yes—
568C2×C8C23×D712yes—
569C4⋊C4—24no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—74no—
573C4⋊C4—74no—
574C4⋊C4—74no—
575C4⋊C4—72no—
576C4⋊C4—72no—
577C4⋊C4—72no—
578C4⋊C4—72no—
579C4⋊C4—144no—
580C4⋊C4—144no—
581C4⋊C4—144no—
582C4⋊C4—144no—
583C4⋊C4—144no—
584C4⋊C4—144no—
585C4⋊C4—144no—
586C4⋊C4—144no—
587C4⋊C4—144no—
588C4⋊C4—141no—
589C4⋊C4—141no—
590C4⋊C4—141no—
591C4⋊C4—141no—
592C4⋊C4—144no—
593C4⋊C4C23×D712yes—
594C4⋊C4C23×D712yes—
595C22⋊C4—24no—
596C22⋊C4—144no—
597C22⋊C4—144no—
598C42—24no—
599C42—72no—
600C42—72no—
601C42—72no—
602C42—72no—
603C42—144no—
604C42—144no—
605C42D4×D712yes—
606C42C23×D712yes—
607C2×C7—44no—
608C2×C7#338614yescomplemented
609C2×C7C2×D4×Q811yescharacteristic
610C2×C7C22×AGL(1,ℤ/8)11yescharacteristic
611C2×C7C2×#57811yescharacteristic
612C23—24no—
613C23—22no—
614C23—42no—
615C23—42no—
616C23C2×D4×D711yescharacteristic
617Q8—24no—
618Q8—22no—
619Q8—148no—
620Q8—288no—
621Q8—288no—
622Q8—288no—
623Q8—288no—
624Q8C22×Dic1414yescomplemented
625D4—24no—
626D4—22no—
627D4C22×Dic1414yes—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—48no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—74no—
638C2×C4—72no—
639C2×C4—72no—
640C2×C4—72no—
641C2×C4—72no—
642C2×C4—142no—
643C2×C4—142no—
644C2×C4—142no—
645C2×C4—142no—
646C2×C4—142no—
647C2×C4—142no—
648C2×C4—142no—
649C2×C4—288no—
650C2×C4—288no—
651C2×C4—282no—
652C2×C4—282no—
653C2×C4—282no—
654C2×C4—282no—
655C2×C4C22×Dic1412yes—
656C2×C4C2×D4×D712yes—
657C2×C4C2×D4×D712yes—
658C2×C4C2×D4×D711yescharacteristic
659C2×C4#655412yes—
660C2×C4C24×D711yescharacteristic
661C8—22no—
662C8—142no—
663C8—142no—
664C8C22×Dic1414yescomplemented
665C7C2×#338611yescharacteristic, complemented, Sylow
666C22—24no—
667C22—42no—
668C22—42no—
669C22—48no—
670C22D4×Dic1412yes—
671C22D7×AGL(1,ℤ/8)12yes—
672C22#9047012yes—
673C22C22×D4×D711yescharacteristic
674C4—22no—
675C4—22no—
676C4—24no—
677C4—42no—
678C4—42no—
679C4—74no—
680C4—142no—
681C4—142no—
682C4—142no—
683C4—282no—
684C4—282no—
685C4—282no—
686C4—282no—
687C4D4×Dic1412yes—
688C4C23×Dic1411yescharacteristic
689C4C2×#655411yescharacteristic
690C2—44no—
691C2#1173720514yesdirect product factor
692C2C2×D4×Dic1411yescharacteristic
693C2C2×D7×AGL(1,ℤ/8)11yescharacteristic
694C2C2×#9047011yescharacteristic
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×#3386
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×#90260C2semidirect
6. C2×#89793C2semidirect
8. #11737205C2direct (N × H)
9. C2×#89648C2semidirect
10. C2×#89646C2semidirect
11. C2×#89566C2semidirect
12. C2×#89563C2semidirect
15. C2×#89474C2semidirect
16. C2×#89473C2semidirect
27. #90260C22semidirect
62. #89793C22semidirect
69. #89648C22semidirect
70. #89646C22semidirect
71. #89566C22semidirect
72. #89563C22semidirect
75. #89474C22semidirect
76. #89473C22semidirect
90. C2×C7×SD16Q8semidirect
198. C2×C7×Q8C2×Q8semidirect
235. C7×SD16C2×Q8semidirect
237. C2×C7×C8C2×Q8semidirect
349. C7×Q8C22×Q8semidirect
392. C7×C8C22×Q8semidirect
407. C2×SD16Dic14semidirect
534. C2×Q8C2×Dic14semidirect
560. SD16C2×Dic14semidirect
566. C2×C8C2×Dic14semidirect
608. C2×C7#3386semidirect
624. Q8C22×Dic14semidirect
664. C8C22×Dic14semidirect
665. C7C2×#3386semidirect
691. C2#11737205direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#902602
C2×D4×Dic142
C2×C7×#4402
C2×#899362
C2×SD16×Dic72
C2×#897932
C2×#897812
#117372052
C2×#896482
C2×#896462
C2×#895662
C2×#895632
C2×#895352
C2×#895312
C2×#894742
C2×#894732
C2×#33867