Finite Group Databasebeta

← C2×#11738604 #14234292

Subgroups — C2×#11738604 #14234292

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×#90376C211yesmaximal, characteristic, complemented
2C2×D4×Dic14C211yesmaximal, characteristic
3C2×C7×#478C211yesmaximal, characteristic
4C2×#89837C211yesmaximal, characteristic, complemented
5C2×#89790C211yesmaximal, characteristic
6#11738604C2116yesmaximal, direct product factor
7C2×#89647C211yesmaximal, characteristic, complemented
8C2×#89646C211yesmaximal, characteristic, complemented
9C2×#89626C211yesmaximal, characteristic, complemented
10C2×#89628C211yesmaximal, characteristic, complemented
11C2×#89622C211yesmaximal, characteristic, complemented
12C2×#89600C211yesmaximal, characteristic, complemented
13C2×#89538C211yesmaximal, characteristic
14C2×#89531C211yesmaximal, characteristic
15C2×#89529C211yesmaximal, characteristic
16C2×#89530C211yesmaximal, characteristic
17C23×Dic14—21no—
18C2×C7×#125C2211yescharacteristic
19C2×C4×C7×D4C2211yescharacteristic
20C2×D4×Dic7C2211yescharacteristic
21C2×D4×Dic7C2211yescharacteristic
22C22×#1142C2211yescharacteristic
23C2×#6487—21no—
24#90376—24no—
25#90376C2218yescomplemented
26D4×Dic14—24no—
27D4×Dic14C2218yes—
28C2×#6453C2211yescharacteristic
29C2×#6452—21no—
30C2×#6452—21no—
31C2×#6451—21no—
32C2×#6451C2211yescharacteristic
33C2×#6451C2211yescharacteristic
34C2×#6451C2211yescharacteristic
35C2×#6450—21no—
36C2×#6450C2211yescharacteristic
37C2×#6450C2211yescharacteristic
38C2×#6441—21no—
39C2×#6441—21no—
40C2×#6432C2211yescharacteristic
41C2×C4×Dic14C2211yescharacteristic
42C2×C4×Dic14C2211yescharacteristic
43C7×#478C2218yes—
44C2×C7×#107C2211yescharacteristic
45C2×C7×#106C2211yescharacteristic
46C2×C7×C4⋊C8C2211yescharacteristic
47C2×C7×#102C2211yescharacteristic
48C2×C7×#102C2211yescharacteristic
49C2×#6406C2211yescharacteristic
50C2×#6392C2211yescharacteristic
51C2×#6392C2211yescharacteristic
52C2×#6390C2211yescharacteristic
53C2×#6390C2211yescharacteristic
54C2×#6389C2211yescharacteristic
55C2×Dic7⋊C8C2211yescharacteristic
56C2×Dic7⋊C8C2211yescharacteristic
57C2×C8×Dic7C2211yescharacteristic
58#89837C2218yescomplemented
59#89790C2218yes—
60C2×#6384C2211yescharacteristic
61C2×#6382C2211yescharacteristic
62C2×#6382C2211yescharacteristic
63C2×#6381C2211yescharacteristic
64C2×#6381C2211yescharacteristic
65C2×#6381C2211yescharacteristic
66C2×#6377C2211yescharacteristic
67#89647C2218yescomplemented
68#89646C2218yescomplemented
69#89628C2218yescomplemented
70#89626C2218yescomplemented
71#89622C2218yescomplemented
72#89600C2218yescomplemented
73#89538C2218yes—
74#89531C2218yes—
75#89530C2218yes—
76#89529C2218yes—
77C2×#3386—71nomaximal, Sylow
78C22×C7×D4C2311yescharacteristic
79C23×C4×C7—21no—
80C23×Dic7—21no—
81C23×Dic7—21no—
82C22×Dic14—21no—
83C22×Dic14—21no—
84C22×Dic14—21no—
85C22×Dic14—21no—
86C22×Dic14—28no—
87C22×Dic14—48no—
88C22×Dic14D411yescharacteristic
89C22×Dic14C2311yescharacteristic
90C22×C7×C8C2311yescharacteristic
91C22×C7×C8C2311yescharacteristic
92C7×#125—22no—
93C7×#125C2314yes—
94C4×C7×D4—22no—
95C4×C7×D4C2314yes—
96C2×C7×C4⋊C4—21no—
97C2×C7×C4⋊C4—21no—
98C2×C7×C4⋊C4C2311yescharacteristic
99C2×C7×C4⋊C4C2311yescharacteristic
100C2×C7×C4⋊C4C2311yescharacteristic
101C2×C7×C22⋊C4—21no—
102C2×C42×C7C2311yescharacteristic
103C2×C22⋊Dic7—21no—
104C2×C22⋊Dic7—21no—
105D4×Dic7—22no—
106D4×Dic7—22no—
107D4×Dic7C2314yes—
108D4×Dic7C2314yes—
109C2×#1142Q818yescomplemented
110C2×#1142C2314yes—
111C2×C4⋊Dic7—21no—
112C2×C4⋊Dic7—21no—
113C2×C4⋊Dic7D411yescharacteristic
114C2×C4⋊Dic7C2311yescharacteristic
115C2×C4⋊Dic7C2311yescharacteristic
116C2×C4⋊Dic7C2311yescharacteristic
117#6487—28no—
118C2×Dic7⋊C4—21no—
119C2×Dic7⋊C4—21no—
120C2×Dic7⋊C4—21no—
121C2×Dic7⋊C4—21no—
122C2×Dic7⋊C4—21no—
123C2×Dic7⋊C4—21no—
124C2×Dic7⋊C4—21no—
125C2×Dic7⋊C4D411yescharacteristic
126C2×Dic7⋊C4D411yescharacteristic
127C2×C4×Dic7—21no—
128C2×C4×Dic7—21no—
129C2×C4×Dic7—21no—
130C2×C4×Dic7C2311yescharacteristic
131C2×C4×Dic7C2311yescharacteristic
132C22×C7⋊C8C2311yescharacteristic
133C22×C7⋊C8C2311yescharacteristic
134#6453—22no—
135#6453C2314yes—
136#6452—28no—
137#6452—28no—
138#6451—28no—
139#6451—22no—
140#6451—22no—
141#6451—22no—
142#6451C2314yes—
143#6451C2314yes—
144#6451C2314yes—
145#6450—28no—
146#6450—22no—
147#6450—22no—
148#6450C2314yes—
149#6450C2314yes—
150#6441—28no—
151#6441—28no—
152#6432—22no—
153#6432C2314yes—
154C4×Dic14—22no—
155C4×Dic14D414yes—
156C4×Dic14C2314yes—
157C4×Dic14C2314yes—
158C7×#107C2314yes—
159C7×#106C2314yes—
160C7×C4⋊C8C2314yes—
161C7×#102C2314yes—
162C7×#102C2314yes—
163#6406C2314yes—
164#6392C2314yes—
165#6392C2314yes—
166#6390C2314yes—
167#6390C2314yes—
168#6389C2314yes—
169Dic7⋊C8C2314yes—
170Dic7⋊C8C2314yes—
171C8×Dic7C2314yes—
172#6384C2314yes—
173#6382C2314yes—
174#6382C2314yes—
175#6381C2314yes—
176#6381C2314yes—
177#6381C2314yes—
178#6377C2314yes—
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×#478D711yescharacteristic
190C2×#474—71no—
191C2×#446—71no—
192C2×#440—71no—
193C2×#440—71no—
194C2×C4×SD16—71no—
195C24×C7—21no—
196C2×C7×D4—21no—
197C2×C7×D4—22no—
198C2×C7×D4C2×Q814yes—
199C2×C7×D4C2412yes—
200C22×C4×C7—21no—
201C22×C4×C7—21no—
202C22×C4×C7—21no—
203C22×C4×C7—24no—
204C22×C4×C7—44no—
205C22×C4×C7C2×D411yescharacteristic
206C22×C4×C7C2×D411yescharacteristic
207C22×C4×C7C2411yescharacteristic
208C22×Dic7—21no—
209C22×Dic7—21no—
210C22×Dic7—21no—
211C22×Dic7—21no—
212C22×Dic7—24no—
213C22×Dic7—24no—
214C22×Dic7—44no—
215C22×Dic7—44no—
216C22×Dic7C2×D411yescharacteristic
217C22×Dic7C2×D411yescharacteristic
218C22×Dic7C2×D411yescharacteristic
219C22×Dic7C2×D411yescharacteristic
220C2×Dic14—21no—
221C2×Dic14—22no—
222C2×Dic14—24no—
223C2×Dic14—24no—
224C2×Dic14—24no—
225C2×Dic14—24no—
226C2×Dic14—24no—
227C2×Dic14—432no—
228C2×Dic14—44no—
229C2×Dic14—44no—
230C2×Dic14—44no—
231C2×Dic14—44no—
232C2×Dic14C2×D414yes—
233C2×Dic14C2×Q814yescomplemented
234C2×Dic14C2412yes—
235C2×C7×C8—22no—
236C2×C7×C8—22no—
237C2×C7×C8C2412yes—
238C2×C7×C8C2412yes—
239C7×C4⋊C4—21no—
240C7×C4⋊C4—24no—
241C7×C4⋊C4—21no—
242C7×C4⋊C4—21no—
243C7×C4⋊C4—24no—
244C7×C4⋊C4C2412yes—
245C7×C4⋊C4C2412yes—
246C7×C4⋊C4C2412yes—
247C7×C22⋊C4—24no—
248C42×C7C2×D412yes—
249C42×C7C2412yes—
250C22⋊Dic7—24no—
251C22⋊Dic7—24no—
252#1142C2×Q8116yescomplemented
253C4⋊Dic7—21no—
254C4⋊Dic7—21no—
255C4⋊Dic7—21no—
256C4⋊Dic7—24no—
257C4⋊Dic7—24no—
258C4⋊Dic7C2×D414yes—
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⋊C4—24no—
269Dic7⋊C4C2×D414yes—
270Dic7⋊C4C2×D414yes—
271C4×Dic7—24no—
272C4×Dic7—24no—
273C4×Dic7—24no—
274C4×Dic7C2×D412yes—
275C4×Dic7C2×D412yes—
276C4×Dic7C2412yes—
277C4×Dic7C2412yes—
278C2×C7⋊C8—22no—
279C2×C7⋊C8C2×Q814yescomplemented
280C2×C7⋊C8C2412yes—
281C2×C7⋊C8C2412yes—
282C23×Q8—141no—
283C22×SD16—71no—
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—141no—
295C2×#125—141no—
296C2×#125C2×D711yescharacteristic
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—71no—
304C2×C4×Q8—141no—
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#478C2×D718yes—
313#477—78no—
314#477—78no—
315#475—78no—
316#474—78no—
317#446—78no—
318#440—78no—
319#440—78no—
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×#106C2×D711yescharacteristic
330C2×C4⋊C8—71no—
331C2×C4⋊C8—71no—
332C2×C4⋊C8C2×D711yescharacteristic
333C2×#103—71no—
334C2×#103—71no—
335C2×#103—71no—
336C2×#102—71no—
337C2×#102C2×D711yescharacteristic
338C2×#102C2×D711yescharacteristic
339C2×#97—71no—
340C2×#97—71no—
341C2×C4×C8—71no—
342C23×C7—24no—
343C23×C7—22no—
344C23×C7—42no—
345C23×C7—42no—
346C23×C7C22×D411yescharacteristic
347C7×D4—24no—
348C7×D4—22no—
349C7×D4C22×Q814yes—
350C2×C4×C7—22no—
351C2×C4×C7—22no—
352C2×C4×C7—22no—
353C2×C4×C7—22no—
354C2×C4×C7—22no—
355C2×C4×C7—48no—
356C2×C4×C7—42no—
357C2×C4×C7—42no—
358C2×C4×C7—42no—
359C2×C4×C7C22×D412yes—
360C2×C4×C7C22×D412yes—
361C2×C4×C7C22×D411yescharacteristic
362C2×C4×C7C22×Q812yes—
363C2×C4×C72−1+412yes—
364C2×C4×C7C2511yescharacteristic
365C2×Dic7—24no—
366C2×Dic7—22no—
367C2×Dic7—22no—
368C2×Dic7—22no—
369C2×Dic7—22no—
370C2×Dic7—22no—
371C2×Dic7—22no—
372C2×Dic7—22no—
373C2×Dic7—48no—
374C2×Dic7—42no—
375C2×Dic7—42no—
376C2×Dic7—42no—
377C2×Dic7—48no—
378C2×Dic7AGL(1,ℤ/8)14yes—
379C2×Dic7C22×D412yes—
380C2×Dic7C22×D412yes—
381C2×Dic7C22×D412yes—
382C2×Dic7C22×D412yes—
383Dic14—24no—
384Dic14—22no—
385Dic14—28no—
386Dic14—48no—
387Dic14—48no—
388Dic14—48no—
389Dic14—48no—
390Dic14C22×Q814yescomplemented
391C7×C8—22no—
392C7×C8—22no—
393C7⋊C8—22no—
394C7⋊C8C22×Q814yescomplemented
395C22×Q8—71no—
396C22×Q8—71no—
397C22×Q8—141no—
398C22×Q8—141no—
399C22×Q8—141no—
400C22×Q8—148no—
401C22×Q8—141no—
402C22×Q8—288no—
403C22×D4C22×D711yescharacteristic
404C23×C4—21no—
405C23×C4—141no—
406C23×C4—141no—
407C2×SD16—78no—
408C2×SD16—74no—
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—22no—
423#125—74no—
424#125—142no—
425#125—148no—
426#125—148no—
427#125C22×D714yes—
428C22⋊Q8—148no—
429C22⋊Q8—148no—
430C22⋊Q8—148no—
431C4×Q8—74no—
432C4×Q8—74no—
433C4×Q8—74no—
434C4×Q8—74no—
435C4×Q8—74no—
436C4×Q8—142no—
437C4×Q8—142no—
438C4×Q8—148no—
439C4×Q8—142no—
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—21no—
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⋊C4C22×D711yescharacteristic
464C2×C4⋊C4C22×D711yescharacteristic
465C2×C4⋊C4C22×D711yescharacteristic
466C2×C22⋊C4—21no—
467C2×C22⋊C4—141no—
468C2×C22⋊C4—141no—
469C2×C42—71no—
470C2×C42—71no—
471C2×C42—141no—
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#106C22×D714yes—
484C4⋊C8—74no—
485C4⋊C8—74no—
486C4⋊C8C22×D714yes—
487#103—74no—
488#103—74no—
489#103—74no—
490#102—74no—
491#102C22×D714yes—
492#102C22×D714yes—
493#97—74no—
494#97—74no—
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—22no—
505C4×C7—22no—
506C4×C7—42no—
507C4×C7—42no—
508C4×C7—42no—
509C4×C7D4×Q812yes—
510C4×C7C23×Q811yescharacteristic
511C4×C7C2×2−1+411yescharacteristic
512Dic7—24no—
513Dic7—22no—
514Dic7—22no—
515Dic7—22no—
516Dic7—42no—
517Dic7—42no—
518Dic7—42no—
519Dic7C2×AGL(1,ℤ/8)14yes—
520C24—21no—
521C2×Q8—74no—
522C2×Q8—74no—
523C2×Q8—72no—
524C2×Q8—144no—
525C2×Q8—144no—
526C2×Q8—144no—
527C2×Q8—144no—
528C2×Q8—141no—
529C2×Q8—144no—
530C2×Q8—142no—
531C2×Q8—284no—
532C2×Q8—284no—
533C2×Q8—284no—
534C2×Q8—284no—
535C2×Q8—2832no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4Q8×D714yes—
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
560SD16—716no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—74no—
564C2×C8—72no—
565C2×C8—72no—
566C2×C8—142no—
567C2×C8C23×D712yes—
568C2×C8C23×D712yes—
569C4⋊C4—24no—
570C4⋊C4—24no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—74no—
575C4⋊C4—74no—
576C4⋊C4—74no—
577C4⋊C4—72no—
578C4⋊C4—72no—
579C4⋊C4—72no—
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—144no—
592C4⋊C4C23×D712yes—
593C4⋊C4C23×D712yes—
594C4⋊C4C23×D712yes—
595C22⋊C4—24no—
596C22⋊C4—144no—
597C22⋊C4—144no—
598C42—72no—
599C42—72no—
600C42—72no—
601C42—72no—
602C42—144no—
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—74no—
618Q8—148no—
619Q8—144no—
620Q8—142no—
621Q8—288no—
622Q8—288no—
623Q8—288no—
624Q8—288no—
625D4—24no—
626D4—22no—
627D4C2×Q8×D714yes—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—48no—
634C2×C4—42no—
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—144no—
646C2×C4—142no—
647C2×C4—142no—
648C2×C4—142no—
649C2×C4—142no—
650C2×C4—288no—
651C2×C4—288no—
652C2×C4—282no—
653C2×C4—282no—
654C2×C4—282no—
655C2×C4C2×D4×D712yes—
656C2×C4C2×D4×D712yes—
657C2×C4C2×D4×D711yescharacteristic
658C2×C4C2×Q8×D712yes—
659C2×C4#655412yes—
660C2×C4C24×D711yescharacteristic
661C8—22no—
662C8—22no—
663C8—74no—
664C8—142no—
665C7C2×#338611yescharacteristic, complemented, Sylow
666C22—24no—
667C22—42no—
668C22—48no—
669C22—42no—
670C22#9032312yes—
671C22#9046212yes—
672C22D7×AGL(1,ℤ/8)12yes—
673C22C22×D4×D711yescharacteristic
674C4—22no—
675C4—22no—
676C4—42no—
677C4—42no—
678C4—42no—
679C4—74no—
680C4—142no—
681C4—144no—
682C4—142no—
683C4—142no—
684C4—282no—
685C4—282no—
686C4—282no—
687C4#9032312yes—
688C4C22×Q8×D711yescharacteristic
689C4C2×#655411yescharacteristic
690C2—44no—
691C2#1173860414yesdirect product factor
692C2C2×#9032311yescharacteristic
693C2C2×#9046211yescharacteristic
694C2C2×D7×AGL(1,ℤ/8)11yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutator, cosocleC2×C4×C7C25
FrattiniC2×C4C24×D7
FittingC2×C7×#478C2
socleC23×C7C22×D4
prime radicalC22×C7×D4C23
hypercenterC2×#478D7
hypocenterC7C2×#3386
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
1. C2×#90376C2semidirect
4. C2×#89837C2semidirect
6. #11738604C2direct (N × H)
7. C2×#89647C2semidirect
8. C2×#89646C2semidirect
9. C2×#89626C2semidirect
10. C2×#89628C2semidirect
11. C2×#89622C2semidirect
12. C2×#89600C2semidirect
25. #90376C22semidirect
58. #89837C22semidirect
67. #89647C22semidirect
68. #89646C22semidirect
69. #89628C22semidirect
70. #89626C22semidirect
71. #89622C22semidirect
72. #89600C22semidirect
109. C2×#1142Q8semidirect
233. C2×Dic14C2×Q8semidirect
252. #1142C2×Q8semidirect
279. C2×C7⋊C8C2×Q8semidirect
390. Dic14C22×Q8semidirect
394. C7⋊C8C22×Q8semidirect
608. C2×C7#3386semidirect
665. C7C2×#3386semidirect
691. C2#11738604direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#903762
C2×D4×Dic142
C2×C7×#4782
C2×#898372
C2×#897902
#117386042
C2×#896472
C2×#896462
C2×#896262
C2×#896282
C2×#896222
C2×#896002
C2×#895382
C2×#895312
C2×#895292
C2×#895302
C2×#33867