Finite Group Databasebeta

← C2×#11737078 #14234236

Subgroups — C2×#11737078 #14234236

Order 1792.

1842 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90260C211yesmaximal, characteristic, complemented
2C2×#90230C211yesmaximal, characteristic
3C2×C4×C7×SD16C211yesmaximal, characteristic
4C2×SD16×Dic7C211yesmaximal, characteristic
5C2×SD16×Dic7C211yesmaximal, characteristic
6C2×#89794C211yesmaximal, characteristic, complemented
7C2×#89781C211yesmaximal, characteristic
8#11737078C2116yesmaximal, direct product factor
9C2×#89630C211yesmaximal, characteristic, complemented
10C2×#89627C211yesmaximal, characteristic, complemented
11C2×#89568C211yesmaximal, characteristic, complemented
12C2×#89566C211yesmaximal, characteristic, complemented
13C2×#89538C211yesmaximal, characteristic
14C2×#89531C211yesmaximal, characteristic
15C2×C8×Dic14C211yesmaximal, characteristic, complemented
16C2×#89455C211yesmaximal, 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—
26#90260—24no—
27#90260C2218yescomplemented
28#90230—24no—
29#90230C2218yes—
30C2×#6453—21no—
31C2×#6453C2211yescharacteristic
32C2×#6453C2211yescharacteristic
33C2×#6451—21no—
34C2×#6451C2211yescharacteristic
35C2×#6451C2211yescharacteristic
36C2×#6441—21no—
37C2×#6441—21no—
38C2×#6433—21no—
39C2×#6433C2211yescharacteristic
40C2×#6433C2211yescharacteristic
41C2×C4×Dic14—21no—
42C2×C4×Dic14C2211yescharacteristic
43C4×C7×SD16C2218yes—
44C2×C7×#106C2211yescharacteristic
45C2×C7×#103C2211yescharacteristic
46C2×C7×#102C2211yescharacteristic
47C2×C4×C7×C8C2211yescharacteristic
48C2×#6409C2211yescharacteristic
49C2×#6409C2211yescharacteristic
50C2×#6406C2211yescharacteristic
51C2×#6406C2211yescharacteristic
52SD16×Dic7C2218yes—
53SD16×Dic7C2218yes—
54C2×#6392C2211yescharacteristic
55C2×#6392C2211yescharacteristic
56C2×#6391C2211yescharacteristic
57C2×#6391C2211yescharacteristic
58C2×Dic7⋊C8C2211yescharacteristic
59C2×Dic7⋊C8C2211yescharacteristic
60C2×C8×Dic7C2211yescharacteristic
61C2×C8×Dic7C2211yescharacteristic
62#89794C2218yescomplemented
63#89781C2218yes—
64C2×#6382C2211yescharacteristic
65C2×#6382C2211yescharacteristic
66C2×#6381C2211yescharacteristic
67C2×#6381C2211yescharacteristic
68C2×C4⋊(C7⋊C8)C2211yescharacteristic
69#89630C2218yescomplemented
70#89627C2218yescomplemented
71#89568C2218yescomplemented
72#89566C2218yescomplemented
73#89538C2218yes—
74#89531C2218yes—
75#89455C2218yescomplemented
76C8×Dic14C2218yescomplemented
77C2×#3381—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×Dic14D411yescharacteristic
86C2×C7×SD16Q818yescomplemented
87C2×C7×SD16C2314yes—
88C22×C7×C8C2311yescharacteristic
89C22×C7×C8C2311yescharacteristic
90C4×C7×Q8—22no—
91C4×C7×Q8C2314yes—
92C4×C7×D4—22no—
93C4×C7×D4C2314yes—
94C2×C7×C4⋊C4—21no—
95C2×C7×C4⋊C4C2311yescharacteristic
96C2×C7×C4⋊C4C2311yescharacteristic
97C2×C7×C22⋊C4—21no—
98C2×C42×C7—21no—
99C2×C42×C7C2311yescharacteristic
100C2×C22⋊Dic7—21no—
101C2×C22⋊Dic7—21no—
102Q8×Dic7—22no—
103Q8×Dic7—22no—
104Q8×Dic7C2314yes—
105Q8×Dic7C2314yes—
106D4×Dic7—22no—
107D4×Dic7—22no—
108D4×Dic7C2314yes—
109D4×Dic7C2314yes—
110C2×C4⋊Dic7—21no—
111C2×C4⋊Dic7—21no—
112C2×C4⋊Dic7—21no—
113C2×C4⋊Dic7—21no—
114C2×C4⋊Dic7D411yescharacteristic
115C2×C4⋊Dic7C2311yescharacteristic
116C2×C4⋊Dic7C2311yescharacteristic
117C2×C4⋊Dic7C2311yescharacteristic
118C2×C4⋊Dic7C2311yescharacteristic
119#6487—28no—
120C2×Dic7⋊C4—21no—
121C2×Dic7⋊C4—21no—
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—28no—
138#6453—22no—
139#6453—22no—
140#6453C2314yes—
141#6453C2314yes—
142#6451—28no—
143#6451—22no—
144#6451—22no—
145#6451C2314yes—
146#6451C2314yes—
147#6441—28no—
148#6441—28no—
149#6433—22no—
150#6433—22no—
151#6433—28no—
152#6433C2314yes—
153#6433C2314yes—
154C4×Dic14—28no—
155C4×Dic14D414yes—
156C4×Dic14C2314yes—
157C7×#106C2314yes—
158C7×#103C2314yes—
159C7×#102C2314yes—
160C4×C7×C8C2314yes—
161#6409C2314yes—
162#6409C2314yes—
163#6406C2314yes—
164#6406C2314yes—
165#6392C2314yes—
166#6392C2314yes—
167#6391C2314yes—
168#6391C2314yes—
169Dic7⋊C8C2314yes—
170Dic7⋊C8C2314yes—
171C8×Dic7C2314yes—
172C8×Dic7C2314yes—
173#6382C2314yes—
174#6382C2314yes—
175#6381C2314yes—
176#6381C2314yes—
177C4⋊(C7⋊C8)C2314yes—
178C2×#557—71no—
179C2×#554—71no—
180#3381—716no—
181C2×#499—71no—
182C2×#499—71no—
183C2×#498—71no—
184C2×#479—71no—
185C2×#479—71no—
186C2×#477—71no—
187C2×#478—71no—
188C2×#478—71no—
189C2×#474—71no—
190C2×C8×Q8—71no—
191C2×C4×SD16—71no—
192C2×C4×SD16—71no—
193C2×C4×SD16D711yescharacteristic
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—44no—
227C2×Dic14—82no—
228C2×Dic14C2×D414yes—
229C7×SD16C2×Q8116yescomplemented
230C2×C7×C8—22no—
231C2×C7×C8C2×Q814yes—
232C2×C7×C8C2412yes—
233C2×C7×C8C2412yes—
234C7×C4⋊C4—24no—
235C7×C4⋊C4—21no—
236C7×C4⋊C4—21no—
237C7×C4⋊C4C2412yes—
238C7×C4⋊C4C2412yes—
239C7×C22⋊C4—24no—
240C42×C7—24no—
241C42×C7C2×D412yes—
242C42×C7C2412yes—
243C22⋊Dic7—24no—
244C22⋊Dic7—24no—
245C4⋊Dic7—21no—
246C4⋊Dic7—21no—
247C4⋊Dic7—21no—
248C4⋊Dic7—21no—
249C4⋊Dic7—24no—
250C4⋊Dic7—24no—
251C4⋊Dic7—24no—
252C4⋊Dic7—24no—
253C4⋊Dic7C2×D414yes—
254C4⋊Dic7C2412yes—
255C4⋊Dic7C2412yes—
256C4⋊Dic7C2412yes—
257C4⋊Dic7C2412yes—
258Dic7⋊C4—24no—
259Dic7⋊C4—24no—
260Dic7⋊C4—24no—
261Dic7⋊C4—24no—
262Dic7⋊C4—24no—
263Dic7⋊C4—24no—
264Dic7⋊C4—24no—
265Dic7⋊C4—24no—
266Dic7⋊C4C2×D414yes—
267Dic7⋊C4C2×D414yes—
268C4×Dic7—24no—
269C4×Dic7—24no—
270C4×Dic7C2×D412yes—
271C4×Dic7C2×D412yes—
272C4×Dic7C2412yes—
273C4×Dic7C2412yes—
274C2×C7⋊C8—22no—
275C2×C7⋊C8—22no—
276C2×C7⋊C8C2412yes—
277C2×C7⋊C8C2412yes—
278C22×SD16C2×D711yescharacteristic
279#557—78no—
280#557—144no—
281#554—78no—
282#554—144no—
283C2×C4⋊Q8—71no—
284C2×C4⋊Q8—71no—
285C2×C4⋊Q8—141no—
286C2×#125—71no—
287C2×#125—71no—
288C2×#125—71no—
289C2×#125—71no—
290C2×#125—141no—
291C2×#125—141no—
292C2×C22⋊Q8—141no—
293C2×C22⋊Q8—141no—
294C2×C22⋊Q8—141no—
295C2×C4×Q8—71no—
296C2×C4×Q8—71no—
297C2×C4×Q8—71no—
298C2×C4×Q8—141no—
299C2×C4×Q8C2×D711yescharacteristic
300C2×C4×D4—71no—
301C2×C4×D4—71no—
302C2×C4×D4C2×D711yescharacteristic
303C22×C4⋊C4—141no—
304#499—78no—
305#499—78no—
306#498—78no—
307#479—78no—
308#479—78no—
309#478—78no—
310#478—78no—
311#477—78no—
312#474—78no—
313C8×Q8—78no—
314C4×SD16—78no—
315C4×SD16—78no—
316C4×SD16C2×D718yes—
317C2×#107—71no—
318C2×#107—71no—
319C2×#107—71no—
320C2×#107—71no—
321C2×#106—71no—
322C2×#106—71no—
323C2×#106—71no—
324C2×#106—71no—
325C2×#106C2×D711yescharacteristic
326C2×C4⋊C8—71no—
327C2×C4⋊C8—71no—
328C2×C4⋊C8—71no—
329C2×#103—71no—
330C2×#103—71no—
331C2×#103C2×D711yescharacteristic
332C2×#102—71no—
333C2×#102—71no—
334C2×#102C2×D711yescharacteristic
335C2×C4×C8—71no—
336C2×C4×C8—71no—
337C2×C4×C8C2×D711yescharacteristic
338C23×C7—24no—
339C23×C7—22no—
340C23×C7—42no—
341C23×C7—42no—
342C23×C7C22×D411yescharacteristic
343C7×Q8—24no—
344C7×Q8—22no—
345C7×Q8C22×Q814yes—
346C7×D4—24no—
347C7×D4—22no—
348C7×D4C22×Q814yes—
349C2×C4×C7—24no—
350C2×C4×C7—22no—
351C2×C4×C7—22no—
352C2×C4×C7—22no—
353C2×C4×C7—22no—
354C2×C4×C7—22no—
355C2×C4×C7—42no—
356C2×C4×C7—42no—
357C2×C4×C7—84no—
358C2×C4×C7C22×D412yes—
359C2×C4×C7C22×D412yes—
360C2×C4×C7C22×D411yescharacteristic
361C2×C4×C7C22×Q812yes—
362C2×C4×C72−1+412yes—
363C2×C4×C7C2511yescharacteristic
364C2×Dic7—22no—
365C2×Dic7—22no—
366C2×Dic7—22no—
367C2×Dic7—22no—
368C2×Dic7—22no—
369C2×Dic7—22no—
370C2×Dic7—22no—
371C2×Dic7—42no—
372C2×Dic7—42no—
373C2×Dic7—42no—
374C2×Dic7—42no—
375C2×Dic7—48no—
376C2×Dic7—84no—
377C2×Dic7#13514yes—
378C2×Dic7C22×D412yes—
379C2×Dic7C22×D412yes—
380C2×Dic7C22×D412yes—
381C2×Dic7C22×D412yes—
382Dic14—28no—
383Dic14—48no—
384Dic14—84no—
385C7×C8—22no—
386C7×C8C22×Q814yes—
387C7⋊C8—22no—
388C7⋊C8—22no—
389C22×Q8—71no—
390C22×Q8—141no—
391C22×Q8—141no—
392C22×Q8C22×D711yescharacteristic
393C22×D4C22×D711yescharacteristic
394C23×C4—21no—
395C23×C4—141no—
396C23×C4—141no—
397C2×SD16Dic1418yescomplemented
398C2×SD16C22×D714yes—
399C22×C8—71no—
400C22×C8—71no—
401C22×C8C22×D711yescharacteristic
402C22×C8C22×D711yescharacteristic
403C4⋊Q8—74no—
404C4⋊Q8—74no—
405C4⋊Q8—142no—
406C4⋊Q8—142no—
407C4⋊Q8—148no—
408#125—74no—
409#125—74no—
410#125—74no—
411#125—74no—
412#125—148no—
413#125—142no—
414#125—142no—
415#125—148no—
416#125—142no—
417#125—142no—
418C22⋊Q8—148no—
419C22⋊Q8—148no—
420C22⋊Q8—148no—
421C4×Q8—22no—
422C4×Q8—74no—
423C4×Q8—74no—
424C4×Q8—74no—
425C4×Q8—74no—
426C4×Q8—148no—
427C4×Q8—142no—
428C4×Q8—142no—
429C4×Q8C22×D714yes—
430C4×D4—22no—
431C4×D4—74no—
432C4×D4—74no—
433C4×D4—142no—
434C4×D4—142no—
435C4×D4C22×D714yes—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—71no—
438C2×C4⋊C4—71no—
439C2×C4⋊C4—71no—
440C2×C4⋊C4—71no—
441C2×C4⋊C4—71no—
442C2×C4⋊C4—71no—
443C2×C4⋊C4—71no—
444C2×C4⋊C4—148no—
445C2×C4⋊C4—141no—
446C2×C4⋊C4—141no—
447C2×C4⋊C4—141no—
448C2×C4⋊C4—141no—
449C2×C4⋊C4—141no—
450C2×C4⋊C4—141no—
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⋊C4C22×D711yescharacteristic
458C2×C4⋊C4C22×D711yescharacteristic
459C2×C22⋊C4—21no—
460C2×C22⋊C4—141no—
461C2×C22⋊C4—141no—
462C2×C42—21no—
463C2×C42—71no—
464C2×C42—71no—
465C2×C42—141no—
466C2×C42—141no—
467C2×C42C22×D711yescharacteristic
468#107—74no—
469#107—74no—
470#107—74no—
471#107—74no—
472#106—74no—
473#106—74no—
474#106—74no—
475#106—74no—
476#106C22×D714yes—
477C4⋊C8—74no—
478C4⋊C8—74no—
479C4⋊C8—74no—
480#103—74no—
481#103—74no—
482#103C22×D714yes—
483#102—74no—
484#102—74no—
485#102C22×D714yes—
486C4×C8—74no—
487C4×C8—74no—
488C4×C8C22×D714yes—
489C22×C7—24no—
490C22×C7—48no—
491C22×C7—42no—
492C22×C7—42no—
493C22×C7D4×Q812yes—
494C22×C7C2×#13512yes—
495C22×C7#57712yes—
496C22×C7C23×D411yescharacteristic
497C4×C7—24no—
498C4×C7—22no—
499C4×C7—22no—
500C4×C7—42no—
501C4×C7—42no—
502C4×C7D4×Q812yes—
503C4×C7C23×Q811yescharacteristic
504C4×C7C2×2−1+411yescharacteristic
505Dic7—22no—
506Dic7—22no—
507Dic7—22no—
508Dic7—42no—
509Dic7—42no—
510Dic7—42no—
511Dic7—42no—
512Dic7C2×#13514yes—
513C24—21no—
514C2×Q8—21no—
515C2×Q8—22no—
516C2×Q8—74no—
517C2×Q8—144no—
518C2×Q8—144no—
519C2×Q8—144no—
520C2×Q8—284no—
521C2×Q8—562no—
522C2×Q8C2×Dic1414yes—
523C2×Q8C23×D712yes—
524C2×D4—21no—
525C2×D4—22no—
526C2×D4C2×Dic1414yes—
527C2×D4C23×D712yes—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—24no—
532C22×C4—71no—
533C22×C4—71no—
534C22×C4—71no—
535C22×C4—71no—
536C22×C4—82no—
537C22×C4—144no—
538C22×C4—144no—
539C22×C4—141no—
540C22×C4—141no—
541C22×C4—141no—
542C22×C4—141no—
543C22×C4—284no—
544C22×C4—562no—
545C22×C4D4×D711yescharacteristic
546C22×C4D4×D711yescharacteristic
547C22×C4C23×D711yescharacteristic
548SD16C2×Dic14116yescomplemented
549C2×C8—22no—
550C2×C8—72no—
551C2×C8—72no—
552C2×C8—142no—
553C2×C8—142no—
554C2×C8C2×Dic1414yes—
555C2×C8C23×D712yes—
556C2×C8C23×D712yes—
557C4⋊C4—24no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—74no—
561C4⋊C4—74no—
562C4⋊C4—74no—
563C4⋊C4—72no—
564C4⋊C4—72no—
565C4⋊C4—72no—
566C4⋊C4—72no—
567C4⋊C4—144no—
568C4⋊C4—144no—
569C4⋊C4—144no—
570C4⋊C4—144no—
571C4⋊C4—144no—
572C4⋊C4—144no—
573C4⋊C4—144no—
574C4⋊C4—144no—
575C4⋊C4—144no—
576C4⋊C4—144no—
577C4⋊C4—144no—
578C4⋊C4—144no—
579C4⋊C4—141no—
580C4⋊C4—141no—
581C4⋊C4—141no—
582C4⋊C4—141no—
583C4⋊C4C23×D712yes—
584C4⋊C4C23×D712yes—
585C22⋊C4—24no—
586C22⋊C4—144no—
587C22⋊C4—144no—
588C42—24no—
589C42—72no—
590C42—72no—
591C42—72no—
592C42—72no—
593C42—144no—
594C42—144no—
595C42D4×D712yes—
596C42C23×D712yes—
597C2×C7—44no—
598C2×C7#338114yescomplemented
599C2×C7C2×D4×Q811yescharacteristic
600C2×C7C22×#13511yescharacteristic
601C2×C7C2×#57711yescharacteristic
602C23—24no—
603C23—22no—
604C23—42no—
605C23—42no—
606C23C2×D4×D711yescharacteristic
607Q8—24no—
608Q8—22no—
609Q8—148no—
610Q8—288no—
611Q8—564no—
612Q8C22×Dic1414yes—
613D4—24no—
614D4—22no—
615D4C22×Dic1414yes—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—74no—
625C2×C4—72no—
626C2×C4—72no—
627C2×C4—72no—
628C2×C4—72no—
629C2×C4—84no—
630C2×C4—142no—
631C2×C4—142no—
632C2×C4—142no—
633C2×C4—142no—
634C2×C4—142no—
635C2×C4—142no—
636C2×C4—142no—
637C2×C4—288no—
638C2×C4—282no—
639C2×C4—282no—
640C2×C4—282no—
641C2×C4—282no—
642C2×C4—564no—
643C2×C4C22×Dic1412yes—
644C2×C4C2×D4×D712yes—
645C2×C4C2×D4×D712yes—
646C2×C4C2×D4×D711yescharacteristic
647C2×C4#655412yes—
648C2×C4C24×D711yescharacteristic
649C8—22no—
650C8—142no—
651C8—142no—
652C8C22×Dic1414yes—
653C7C2×#338111yescharacteristic, complemented, Sylow
654C22—24no—
655C22—42no—
656C22—48no—
657C22—42no—
658C22D4×Dic1412yes—
659C22#9045312yes—
660C22D7×#13512yes—
661C22C22×D4×D711yescharacteristic
662C4—24no—
663C4—22no—
664C4—22no—
665C4—42no—
666C4—42no—
667C4—74no—
668C4—142no—
669C4—142no—
670C4—142no—
671C4—282no—
672C4—282no—
673C4—282no—
674C4—282no—
675C4D4×Dic1412yes—
676C4C23×Dic1411yescharacteristic
677C4C2×#655411yescharacteristic
678C2—44no—
679C2#1173707814yesdirect product factor
680C2C2×D4×Dic1411yescharacteristic
681C2C2×#9045311yescharacteristic
682C2C2×D7×#13511yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C4×C7×SD16C2
socleC23×C7C22×D4
prime radicalC22×C7×D4C23
hypercenterC2×C4×SD16D7
hypocenterC7C2×#3381
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
1. C2×#90260C2semidirect
6. C2×#89794C2semidirect
8. #11737078C2direct (N × H)
9. C2×#89630C2semidirect
10. C2×#89627C2semidirect
11. C2×#89568C2semidirect
12. C2×#89566C2semidirect
15. C2×C8×Dic14C2semidirect
16. C2×#89455C2semidirect
27. #90260C22semidirect
62. #89794C22semidirect
69. #89630C22semidirect
70. #89627C22semidirect
71. #89568C22semidirect
72. #89566C22semidirect
75. #89455C22semidirect
76. C8×Dic14C22semidirect
86. C2×C7×SD16Q8semidirect
229. C7×SD16C2×Q8semidirect
397. C2×SD16Dic14semidirect
548. SD16C2×Dic14semidirect
598. C2×C7#3381semidirect
653. C7C2×#3381semidirect
679. C2#11737078direct (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×#902302
C2×C4×C7×SD162
C2×SD16×Dic72
C2×#897942
C2×#897812
#117370782
C2×#896302
C2×#896272
C2×#895682
C2×#895662
C2×#895382
C2×#895312
C2×C8×Dic142
C2×#894552
C2×#33817