Finite Group Databasebeta

← C2×#11740225 #13525574

Subgroups — C2×#11740225 #13525574

Order 1792.

4006 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
1C22×C7×C22⋊Q8C211yesmaximal, characteristic, complemented
2C22×#6509C211yesmaximal, characteristic, complemented
3C22×#6507C211yesmaximal, characteristic, complemented
4C22×#6487C211yesmaximal, characteristic, complemented
5C22×C4×C22⋊D7C211yesmaximal, characteristic
6C22×#6460C211yesmaximal, characteristic, complemented
7#11740225C2116yesmaximal, direct product factor
8C2×#89764C212yesmaximal, complemented
9C2×#89748C212yesmaximal, complemented
10C2×C4⋊C4×Dic7C211yesmaximal, characteristic, complemented
11C2×#89721C212yesmaximal, complemented
12C2×#89729C212yesmaximal
13C23×C7×Q8C2211yescharacteristic
14C24×C4×C7C2211yescharacteristic
15C23×C22⋊D7C2211yescharacteristic
16C23×C4×D7C2211yescharacteristic
17C23×Dic14C2211yescharacteristic
18C2×C7×C22⋊Q8—28no—
19C2×C7×C22⋊Q8C2218yescomplemented
20C22×C7×C4⋊C4C2212yes—
21C22×C7×C4⋊C4C2211yescharacteristic
22C22×C7×C22⋊C4C2212yes—
23C22×C22⋊Dic7C2211yescharacteristic
24C22×C22⋊Dic7C2212yes—
25C2×#6509—28no—
26C2×#6509C2218yescomplemented
27C2×#6507—28no—
28C2×#6507C2218yescomplemented
29C2×C4×C22⋊D7—28no—
30C2×C4×C22⋊D7C2218yes—
31C22×(C2×D7)⋊C4C2211yescharacteristic
32C22×(C2×D7)⋊C4C2212yes—
33C22×(C2×D7)⋊C4C2212yes—
34C22×C4⋊Dic7C2212yes—
35C22×C4⋊Dic7C2211yescharacteristic
36C2×#6487—28no—
37C2×#6487C2218yescomplemented
38C22×Dic7⋊C4C2211yescharacteristic
39C22×Dic7⋊C4C2212yes—
40C22×Dic7⋊C4C2212yes—
41C22×Dic7⋊C4C2212yes—
42C22×Dic7⋊C4C2212yes—
43C22×C4×Dic7C2212yes—
44C22×C4×Dic7C2211yescharacteristic
45C2×#6460—28no—
46C2×#6460C2218yescomplemented
47C2×C7⋊#95C2212yes—
48#89764C22116yescomplemented
49#89748C22116yescomplemented
50C4⋊C4×Dic7C2218yescomplemented
51#89729C22116yes—
52#89721C22116yescomplemented
53C2×#2542—71nomaximal, Sylow
54C25×C7C2311yescharacteristic
55C24×D7C2311yescharacteristic
56C22×C7×Q8—24no—
57C22×C7×Q8—24no—
58C22×C7×Q8—24no—
59C22×C7×Q8C2314yes—
60C23×C4×C7—24no—
61C23×C4×C7—24no—
62C23×C4×C7—24no—
63C23×C4×C7C2312yes—
64C23×C4×C7C2311yescharacteristic
65C23×C4×C7C2314yes—
66C23×C4×C7C2312yes—
67C23×C4×C7C2311yescharacteristic
68C22×C22⋊D7—24no—
69C22×C22⋊D7—24no—
70C22×C22⋊D7Q818yescomplemented
71C22×C22⋊D7C2314yes—
72C23×Dic7C2311yescharacteristic
73C23×Dic7C2312yes—
74C23×Dic7C2312yes—
75C23×Dic7C2311yescharacteristic
76C23×Dic7C2311yescharacteristic
77C22×C4×D7—24no—
78C22×C4×D7—24no—
79C22×C4×D7—24no—
80C22×C4×D7C2314yes—
81C22×Dic14—24no—
82C22×Dic14—24no—
83C22×Dic14—24no—
84C22×Dic14C2314yes—
85C7×C22⋊Q8—232no—
86C2×C7×C4⋊C4—28no—
87C2×C7×C4⋊C4D418yescomplemented
88C2×C7×C4⋊C4C2318yes—
89C2×C7×C4⋊C4C2314yes—
90C2×C7×C22⋊C4—28no—
91C2×C7×C22⋊C4C2318yes—
92C2×C22⋊Dic7—28no—
93C2×C22⋊Dic7—24no—
94C2×C22⋊Dic7C2318yes—
95C2×C22⋊Dic7C2314yes—
96#6509—232no—
97#6507—232no—
98C4×C22⋊D7—232no—
99C2×(C2×D7)⋊C4—28no—
100C2×(C2×D7)⋊C4—24no—
101C2×(C2×D7)⋊C4—28no—
102C2×(C2×D7)⋊C4C2318yes—
103C2×(C2×D7)⋊C4C2314yes—
104C2×(C2×D7)⋊C4C2318yes—
105C2×C4⋊Dic7—28no—
106C2×C4⋊Dic7D418yescomplemented
107C2×C4⋊Dic7C2318yes—
108C2×C4⋊Dic7C2314yes—
109#6487—232no—
110C2×Dic7⋊C4—28no—
111C2×Dic7⋊C4—24no—
112C2×Dic7⋊C4—28no—
113C2×Dic7⋊C4—28no—
114C2×Dic7⋊C4—28no—
115C2×Dic7⋊C4C2318yes—
116C2×Dic7⋊C4C2314yes—
117C2×Dic7⋊C4C2318yes—
118C2×Dic7⋊C4C2318yes—
119C2×Dic7⋊C4C2318yes—
120C2×C4×Dic7—28no—
121C2×C4×Dic7D418yes—
122C2×C4×Dic7C2318yes—
123C2×C4×Dic7C2314yes—
124#6460—232no—
125C7⋊#95C2318yes—
126C22×C4⋊Q8—71no—
127C22×C22⋊Q8—71no—
128C22×C22⋊Q8—71no—
129C22×C22⋊Q8—71no—
130C22×C22⋊Q8D711yescharacteristic, complemented
131C22×C4×D4—71no—
132#2542—716no—
133C2×#399—72no—
134C2×#399—72no—
135C2×#390—72no—
136C2×#384—72no—
137C2×C4×C4⋊C4—71no—
138C24×C7—22no—
139C24×C7—22no—
140C24×C7—22no—
141C24×C7—22no—
142C24×C7—22no—
143C24×C7—22no—
144C24×C7C2×Q814yes—
145C24×C7C2412yes—
146C24×C7C2411yescharacteristic
147C23×D7—22no—
148C23×D7—22no—
149C23×D7—22no—
150C23×D7—22no—
151C23×D7—22no—
152C23×D7—22no—
153C23×D7C2×Q814yes—
154C23×D7C2412yes—
155C2×C7×Q8—28no—
156C2×C7×Q8—28no—
157C2×C7×Q8—28no—
158C2×C7×Q8—416no—
159C22×C4×C7—24no—
160C22×C4×C7—24no—
161C22×C4×C7—22no—
162C22×C4×C7—24no—
163C22×C4×C7—22no—
164C22×C4×C7—24no—
165C22×C4×C7—24no—
166C22×C4×C7—22no—
167C22×C4×C7—28no—
168C22×C4×C7—28no—
169C22×C4×C7—28no—
170C22×C4×C7—416no—
171C22×C4×C7C2×D418yes—
172C22×C4×C7C2×D414yes—
173C22×C4×C7C2×D414yes—
174C22×C4×C7C2×D414yes—
175C22×C4×C7C2414yes—
176C22×C4×C7C2412yes—
177C22×C4×C7C2414yes—
178C22×C4×C7C2412yes—
179C2×C22⋊D7—232no—
180C2×C22⋊D7—28no—
181C2×C22⋊D7—28no—
182C2×C22⋊D7C2×Q8116yescomplemented
183C22×Dic7—24no—
184C22×Dic7—22no—
185C22×Dic7—22no—
186C22×Dic7—24no—
187C22×Dic7—24no—
188C22×Dic7—22no—
189C22×Dic7—24no—
190C22×Dic7—22no—
191C22×Dic7—22no—
192C22×Dic7—24no—
193C22×Dic7C2×D414yes—
194C22×Dic7C2×D418yes—
195C22×Dic7C2×D414yes—
196C22×Dic7C2×Q814yes—
197C22×Dic7#4114yes—
198C22×Dic7C2412yes—
199C22×Dic7C2414yes—
200C22×Dic7C2412yes—
201C22×Dic7C2414yes—
202C22×Dic7C2412yes—
203C2×C4×D7—28no—
204C2×C4×D7—28no—
205C2×C4×D7—28no—
206C2×C4×D7—416no—
207C2×Dic14—28no—
208C2×Dic14—28no—
209C2×Dic14—28no—
210C2×Dic14—416no—
211C7×C4⋊C4—216no—
212C7×C4⋊C4C2×D4116yescomplemented
213C7×C22⋊C4—216no—
214C22⋊Dic7—216no—
215C22⋊Dic7—28no—
216(C2×D7)⋊C4—216no—
217(C2×D7)⋊C4—28no—
218(C2×D7)⋊C4—216no—
219C4⋊Dic7—216no—
220C4⋊Dic7C2×D4116yescomplemented
221Dic7⋊C4—216no—
222Dic7⋊C4—28no—
223Dic7⋊C4—216no—
224Dic7⋊C4—216no—
225Dic7⋊C4—216no—
226C4×Dic7—216no—
227C4×Dic7C2×D4116yes—
228C23×Q8—71no—
229C23×Q8C2×D711yescharacteristic
230C23×D4—71no—
231C24×C4—71no—
232C24×C4C2×D711yescharacteristic
233C2×C4⋊Q8—78no—
234C2×C4⋊Q8—148no—
235C2×C22⋊Q8—28no—
236C2×C22⋊Q8—78no—
237C2×C22⋊Q8—78no—
238C2×C22⋊Q8—78no—
239C2×C22⋊Q8—148no—
240C2×C22⋊Q8—148no—
241C2×C22⋊Q8—148no—
242C2×C22⋊Q8C2×D718yescomplemented
243C2×C4×D4—78no—
244C2×C4×D4—148no—
245C22×C4⋊C4—71no—
246C22×C4⋊C4—72no—
247C22×C4⋊C4—72no—
248C22×C4⋊C4—72no—
249C22×C4⋊C4—72no—
250C22×C4⋊C4—71no—
251C22×C4⋊C4—72no—
252C22×C4⋊C4C2×D712yes—
253C22×C4⋊C4C2×D711yescharacteristic
254C22×C22⋊C4—71no—
255C22×C22⋊C4—72no—
256C22×C22⋊C4—71no—
257C22×C22⋊C4—72no—
258C22×C22⋊C4—72no—
259C22×C22⋊C4C2×D712yes—
260C22×C42—71no—
261C22×C42—72no—
262#399—716no—
263#399—716no—
264#390—716no—
265#384—716no—
266C4×C4⋊C4—78no—
267C2×#95—72no—
268C23×C7—28no—
269C23×C7—28no—
270C23×C7—28no—
271C23×C7—22no—
272C23×C7—22no—
273C23×C7—22no—
274C23×C7—22no—
275C23×C7—22no—
276C23×C7—22no—
277C23×C7—44no—
278C23×C7—44no—
279C23×C7—44no—
280C23×C7—44no—
281C23×C7C22×D412yes—
282C23×C7C22×D412yes—
283C23×C7C22×D412yes—
284C23×C7C22×Q814yes—
285C23×C7C22×Q812yes—
286C23×C7C2×#4112yes—
287C23×C72−1+412yes—
288C23×C72−1+412yes—
289C23×C7C2511yescharacteristic
290C22×D7—28no—
291C22×D7—28no—
292C22×D7—28no—
293C22×D7—22no—
294C22×D7—22no—
295C22×D7—22no—
296C22×D7—22no—
297C22×D7—22no—
298C22×D7—22no—
299C22×D7—44no—
300C22×D7—44no—
301C22×D7—44no—
302C22×D7—44no—
303C22×D7C22×Q814yes—
304C7×Q8—416no—
305C2×C4×C7—216no—
306C2×C4×C7—24no—
307C2×C4×C7—24no—
308C2×C4×C7—22no—
309C2×C4×C7—24no—
310C2×C4×C7—22no—
311C2×C4×C7—24no—
312C2×C4×C7—24no—
313C2×C4×C7—22no—
314C2×C4×C7—44no—
315C2×C4×C7—48no—
316C2×C4×C7—416no—
317C2×C4×C7#127116yes—
318C2×C4×C7C22×D414yes—
319C2×C4×C7C22×D414yes—
320C2×C4×C7C22×D418yes—
321C2×C4×C7C22×D414yes—
322C22⋊D7—232no—
323C2×Dic7—28no—
324C2×Dic7—216no—
325C2×Dic7—24no—
326C2×Dic7—22no—
327C2×Dic7—24no—
328C2×Dic7—22no—
329C2×Dic7—24no—
330C2×Dic7—22no—
331C2×Dic7—24no—
332C2×Dic7—22no—
333C2×Dic7—22no—
334C2×Dic7—24no—
335C2×Dic7—48no—
336C2×Dic7—44no—
337C2×Dic7C22⋊Q8116yescomplemented
338C2×Dic7C22×D414yes—
339C2×Dic7C22×D418yes—
340C2×Dic7C22×D414yes—
341C2×Dic7C22×Q814yes—
342C2×Dic7C2×#4114yes—
343C4×D7—416no—
344Dic14—416no—
345C25—71no—
346C25C22×D711yescharacteristic
347C22×Q8—24no—
348C22×Q8—24no—
349C22×Q8—24no—
350C22×Q8—74no—
351C22×Q8—144no—
352C22×Q8—144no—
353C22×Q8—144no—
354C22×Q8C22×D714yes—
355C22×D4—78no—
356C22×D4—74no—
357C22×D4—144no—
358C22×D4—144no—
359C23×C4—24no—
360C23×C4—24no—
361C23×C4—24no—
362C23×C4—71no—
363C23×C4—72no—
364C23×C4—71no—
365C23×C4—72no—
366C23×C4—71no—
367C23×C4—74no—
368C23×C4—144no—
369C23×C4—144no—
370C23×C4—144no—
371C23×C4C22×D714yes—
372C23×C4C22×D712yes—
373C23×C4C22×D711yescharacteristic
374C23×C4C22×D712yes—
375C23×C4C22×D711yescharacteristic
376C4⋊Q8—1432no—
377C22⋊Q8—232no—
378C22⋊Q8—1432no—
379C22⋊Q8—1432no—
380C22⋊Q8—1432no—
381C4×D4—1432no—
382C2×C4⋊C4—28no—
383C2×C4⋊C4—78no—
384C2×C4⋊C4—74no—
385C2×C4⋊C4—74no—
386C2×C4⋊C4—78no—
387C2×C4⋊C4—78no—
388C2×C4⋊C4—78no—
389C2×C4⋊C4—78no—
390C2×C4⋊C4—78no—
391C2×C4⋊C4—144no—
392C2×C4⋊C4—148no—
393C2×C4⋊C4—148no—
394C2×C4⋊C4—148no—
395C2×C4⋊C4—148no—
396C2×C4⋊C4—148no—
397C2×C4⋊C4C22⋊D718yescomplemented
398C2×C4⋊C4C22×D718yes—
399C2×C4⋊C4C22×D714yes—
400C2×C22⋊C4—28no—
401C2×C22⋊C4—74no—
402C2×C22⋊C4—78no—
403C2×C22⋊C4—74no—
404C2×C22⋊C4—78no—
405C2×C22⋊C4—78no—
406C2×C22⋊C4—144no—
407C2×C22⋊C4—148no—
408C2×C22⋊C4—144no—
409C2×C22⋊C4—148no—
410C2×C22⋊C4—148no—
411C2×C22⋊C4C22×D718yes—
412C2×C42—78no—
413C2×C42—74no—
414C2×C42—78no—
415C2×C42—148no—
416#95—78no—
417C22×C7—24no—
418C22×C7—24no—
419C22×C7—24no—
420C22×C7—42no—
421C22×C7—42no—
422C22×C7—42no—
423C22×C7—42no—
424C22×C7—416no—
425C22×C7C2×C22⋊Q814yes—
426C22×C7C2×#12714yes—
427C22×C7#53614yes—
428C22×C7#54714yes—
429C22×C7#54714yes—
430C22×C7D4×Q814yes—
431C22×C7D4×Q814yes—
432C22×C7C23×D411yescharacteristic
433C22×C7C23×D411yescharacteristic
434C22×C7C23×D411yescharacteristic
435C22×C7C23×Q811yescharacteristic
436C22×C7C22×#4111yescharacteristic
437C22×C7C2×2−1+411yescharacteristic
438C22×C7C2×2−1+411yescharacteristic
439C2×D7—24no—
440C2×D7—24no—
441C2×D7—24no—
442C2×D7—42no—
443C2×D7—42no—
444C2×D7—42no—
445C2×D7—42no—
446C2×D7—416no—
447C4×C7—28no—
448C4×C7—42no—
449C4×C7—44no—
450C4×C7C2×#12718yes—
451Dic7—24no—
452Dic7—28no—
453Dic7—44no—
454Dic7—42no—
455Dic7C2×C22⋊Q818yescomplemented
456C24—22no—
457C24—22no—
458C24—22no—
459C24—22no—
460C24—22no—
461C24—22no—
462C24—74no—
463C24—72no—
464C24—142no—
465C24—142no—
466C24—142no—
467C24—142no—
468C24—142no—
469C24—142no—
470C24Q8×D714yes—
471C24C23×D712yes—
472C24C23×D711yescharacteristic
473C2×Q8—28no—
474C2×Q8—28no—
475C2×Q8—28no—
476C2×Q8—416no—
477C2×Q8—148no—
478C2×Q8—148no—
479C2×Q8—148no—
480C2×Q8—2816no—
481C2×D4—716no—
482C2×D4—148no—
483C2×D4—1432no—
484C2×D4—148no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—28no—
494C22×C4—28no—
495C22×C4—28no—
496C22×C4—416no—
497C22×C4—74no—
498C22×C4—74no—
499C22×C4—74no—
500C22×C4—72no—
501C22×C4—74no—
502C22×C4—78no—
503C22×C4—72no—
504C22×C4—74no—
505C22×C4—74no—
506C22×C4—72no—
507C22×C4—142no—
508C22×C4—144no—
509C22×C4—144no—
510C22×C4—142no—
511C22×C4—142no—
512C22×C4—144no—
513C22×C4—142no—
514C22×C4—144no—
515C22×C4—144no—
516C22×C4—142no—
517C22×C4—148no—
518C22×C4—148no—
519C22×C4—148no—
520C22×C4—2816no—
521C22×C4D4×D714yes—
522C22×C4D4×D714yes—
523C22×C4C2×C22⋊D718yes—
524C22×C4C2×C22⋊D714yes—
525C22×C4C23×D714yes—
526C22×C4C23×D712yes—
527C22×C4C23×D714yes—
528C22×C4C23×D712yes—
529C4⋊C4—216no—
530C4⋊C4—716no—
531C4⋊C4—148no—
532C4⋊C4—1416no—
533C4⋊C4—1416no—
534C4⋊C4—1416no—
535C4⋊C4—1416no—
536C4⋊C4—1416no—
537C4⋊C4C2×C22⋊D7116yescomplemented
538C22⋊C4—216no—
539C22⋊C4—148no—
540C22⋊C4—1416no—
541C22⋊C4—148no—
542C22⋊C4—1416no—
543C22⋊C4—1416no—
544C42—716no—
545C42—1416no—
546C2×C7—44no—
547C2×C7#254218yescomplemented
548C2×C7C22×C22⋊Q811yescharacteristic
549C2×C7C22×#12711yescharacteristic
550C2×C7C2×#53611yescharacteristic
551C2×C7C2×#54711yescharacteristic
552C2×C7C2×#54711yescharacteristic
553C2×C7C2×D4×Q811yescharacteristic
554C2×C7C2×D4×Q811yescharacteristic
555D7—44no—
556C23—28no—
557C23—28no—
558C23—28no—
559C23—22no—
560C23—22no—
561C23—22no—
562C23—22no—
563C23—22no—
564C23—22no—
565C23—44no—
566C23—44no—
567C23—44no—
568C23—44no—
569C23—74no—
570C23—148no—
571C23—148no—
572C23—148no—
573C23—142no—
574C23—142no—
575C23—142no—
576C23—142no—
577C23—142no—
578C23—142no—
579C23—284no—
580C23—284no—
581C23—284no—
582C23—284no—
583C23C2×D4×D712yes—
584C23C2×D4×D712yes—
585C23C2×Q8×D714yes—
586C23C2×Q8×D712yes—
587C23#655112yes—
588C23D7×#4112yes—
589C23#655412yes—
590C23C22×C22⋊D712yes—
591C23C24×D711yescharacteristic
592Q8—416no—
593Q8—2816no—
594D4—1432no—
595C2×C4—216no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—22no—
604C2×C4—44no—
605C2×C4—48no—
606C2×C4—416no—
607C2×C4—716no—
608C2×C4—74no—
609C2×C4—74no—
610C2×C4—74no—
611C2×C4—74no—
612C2×C4—78no—
613C2×C4—148no—
614C2×C4—1416no—
615C2×C4—142no—
616C2×C4—144no—
617C2×C4—144no—
618C2×C4—142no—
619C2×C4—142no—
620C2×C4—144no—
621C2×C4—142no—
622C2×C4—144no—
623C2×C4—144no—
624C2×C4—142no—
625C2×C4—284no—
626C2×C4—288no—
627C2×C4—2816no—
628C2×C4#6503116yes—
629C2×C4C2×D4×D714yes—
630C2×C4C2×D4×D714yes—
631C2×C4C22×C22⋊D718yes—
632C2×C4C22×C22⋊D714yes—
633C7C2×#254211yescharacteristic, complemented, Sylow
634C22—24no—
635C22—24no—
636C22—24no—
637C22—42no—
638C22—416no—
639C22—42no—
640C22—42no—
641C22—42no—
642C22—144no—
643C22—144no—
644C22—144no—
645C22—282no—
646C22—2816no—
647C22—282no—
648C22—282no—
649C22—282no—
650C22D7×C22⋊Q814yes—
651C22#9031914yes—
652C22#9032214yes—
653C22#9032314yes—
654C22C2×#650314yes—
655C22Q8×C22⋊D714yes—
656C22#9051514yes—
657C22C22×D4×D711yescharacteristic
658C22C22×D4×D711yescharacteristic
659C22C22×Q8×D711yescharacteristic
660C22C2×#655111yescharacteristic
661C22C2×D7×#4111yescharacteristic
662C22C2×#655411yescharacteristic
663C22C23×C22⋊D711yescharacteristic
664C4—28no—
665C4—42no—
666C4—44no—
667C4—78no—
668C4—144no—
669C4—148no—
670C4—282no—
671C4—284no—
672C4C2×#650318yes—
673C2—44no—
674C2—284no—
675C2#1174022518yesdirect product factor
676C2C2×#9032311yescharacteristic
677C2C2×D7×C22⋊Q811yescharacteristic
678C2C2×#9031911yescharacteristic
679C2C2×#9032211yescharacteristic
680C2C22×#650311yescharacteristic
681C2C2×Q8×C22⋊D711yescharacteristic
682C2C2×#9051511yescharacteristic
subgroupG/H
centerC24C23×D7
commutator, cosocleC23×C7C25
FrattiniC23C24×D7
FittingC22×C7×C22⋊Q8C2
socleC24×C7C24
prime radicalC23×C22⋊D7C22
hypercenterC22×C22⋊Q8D7
hypocenterC7C2×#2542
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C24 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C22×C7×C22⋊Q8C2semidirect
2. C22×#6509C2semidirect
3. C22×#6507C2semidirect
4. C22×#6487C2semidirect
6. C22×#6460C2semidirect
7. #11740225C2direct (N × H)
8. C2×#89764C2semidirect
9. C2×#89748C2semidirect
10. C2×C4⋊C4×Dic7C2semidirect
11. C2×#89721C2semidirect
19. C2×C7×C22⋊Q8C22semidirect
26. C2×#6509C22semidirect
28. C2×#6507C22semidirect
37. C2×#6487C22semidirect
46. C2×#6460C22semidirect
48. #89764C22semidirect
49. #89748C22semidirect
50. C4⋊C4×Dic7C22semidirect
52. #89721C22semidirect
70. C22×C22⋊D7Q8semidirect
87. C2×C7×C4⋊C4D4semidirect
106. C2×C4⋊Dic7D4semidirect
130. C22×C22⋊Q8D7semidirect
182. C2×C22⋊D7C2×Q8semidirect
212. C7×C4⋊C4C2×D4semidirect
220. C4⋊Dic7C2×D4semidirect
242. C2×C22⋊Q8C2×D7semidirect
337. C2×Dic7C22⋊Q8semidirect
397. C2×C4⋊C4C22⋊D7semidirect
455. Dic7C2×C22⋊Q8semidirect
537. C4⋊C4C2×C22⋊D7semidirect
547. C2×C7#2542semidirect
633. C7C2×#2542semidirect
675. C2#11740225direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C7×C22⋊Q82
C22×#65092
C22×#65072
C22×#64872
C22×C4×C22⋊D72
C22×#64602
#117402252
C2×#897642
C2×#897482
C2×C4⋊C4×Dic72
C2×#897212
C2×#897292
C2×#25427