Finite Group Databasebeta

← C2×#11731190 #13520459

Subgroups — C2×#11731190 #13520459

Order 1792.

1962 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×C4×C7×C4⋊C4C211yesmaximal, characteristic, complemented
2C2×#89764C211yesmaximal, characteristic
3C2×#89766C211yesmaximal, characteristic
4C2×#89758C211yesmaximal, characteristic, complemented
5C2×#89752C211yesmaximal, characteristic, complemented
6C2×#89700C211yesmaximal, characteristic, complemented
7C2×#89712C211yesmaximal, characteristic
8C2×#89712C211yesmaximal, characteristic
9C2×#89712C211yesmaximal, characteristic
10C2×#89705C211yesmaximal, characteristic, complemented
11C2×#89705C211yesmaximal, characteristic, complemented
12#11731190C2116yesmaximal, direct product factor
13C2×#89447C211yesmaximal, characteristic
14C2×#89430C211yesmaximal, characteristic, complemented
15C2×#89429C211yesmaximal, characteristic, complemented
16C2×#89446C211yesmaximal, characteristic
17C22×C7×C4⋊C4C2211yescharacteristic
18C22×C7×C4⋊C4C2211yescharacteristic
19C22×C42×C7C2211yescharacteristic
20C22×C42×C7C2211yescharacteristic
21C22×C42×C7C2211yescharacteristic
22C22×(C2×D7)⋊C4C2211yescharacteristic
23C22×(C2×D7)⋊C4C2211yescharacteristic
24C22×(C2×D7)⋊C4C2211yescharacteristic
25C22×(C2×D7)⋊C4C2211yescharacteristic
26C22×(C2×D7)⋊C4C2211yescharacteristic
27C22×(C2×D7)⋊C4C2211yescharacteristic
28C22×(C2×D7)⋊C4C2211yescharacteristic
29C22×C4⋊Dic7C2211yescharacteristic
30C22×C4⋊Dic7C2211yescharacteristic
31C22×Dic7⋊C4C2211yescharacteristic
32C22×Dic7⋊C4C2211yescharacteristic
33C22×Dic7⋊C4C2211yescharacteristic
34C22×Dic7⋊C4C2211yescharacteristic
35C22×Dic7⋊C4C2211yescharacteristic
36C22×Dic7⋊C4C2211yescharacteristic
37C22×Dic7⋊C4C2211yescharacteristic
38C4×C7×C4⋊C4C2218yescomplemented
39C2×C7×#95C2211yescharacteristic
40C2×C7×#95C2211yescharacteristic
41C2×C7⋊#95C2211yescharacteristic
42C2×C7⋊#95C2211yescharacteristic
43C2×C7⋊#95C2211yescharacteristic
44C2×C7⋊#95C2211yescharacteristic
45C2×C7⋊#95C2211yescharacteristic
46C2×C7⋊#95C2211yescharacteristic
47C2×C7⋊#95C2211yescharacteristic
48C2×C7⋊#95C2211yescharacteristic
49C2×C7⋊#95C2211yescharacteristic
50C2×C7⋊#95C2211yescharacteristic
51C2×C7⋊#95C2211yescharacteristic
52C2×C7⋊#95C2211yescharacteristic
53#89766C2218yes—
54#89764C2218yes—
55#89758C2218yescomplemented
56#89752C2218yescomplemented
57#89712C2218yes—
58#89712C2218yes—
59#89712C2218yes—
60#89705C2218yescomplemented
61#89705C2218yescomplemented
62#89700C2218yescomplemented
63#89447C2218yes—
64#89446C2218yes—
65#89430C2218yescomplemented
66#89429C2218yescomplemented
67C2×#2654—71nomaximal, Sylow
68C24×D7C2311yescharacteristic
69C23×C4×C7C2311yescharacteristic
70C23×C4×C7C2311yescharacteristic
71C23×C4×C7C2311yescharacteristic
72C23×C4×C7C2311yescharacteristic
73C23×C4×C7C2311yescharacteristic
74C23×C4×C7C2311yescharacteristic
75C23×C4×C7C2311yescharacteristic
76C23×Dic7C2311yescharacteristic
77C23×Dic7C2311yescharacteristic
78C23×Dic7C2311yescharacteristic
79C23×Dic7C2311yescharacteristic
80C23×Dic7C2311yescharacteristic
81C23×Dic7C2311yescharacteristic
82C23×Dic7C2311yescharacteristic
83C2×C7×C4⋊C4—24no—
84C2×C7×C4⋊C4—24no—
85C2×C7×C4⋊C4C2314yes—
86C2×C7×C4⋊C4C2314yes—
87C2×C42×C7—24no—
88C2×C42×C7—42no—
89C2×C42×C7—42no—
90C2×C42×C7C2314yes—
91C2×C42×C7C2314yes—
92C2×C42×C7C2314yes—
93C2×(C2×D7)⋊C4—24no—
94C2×(C2×D7)⋊C4—24no—
95C2×(C2×D7)⋊C4—24no—
96C2×(C2×D7)⋊C4—42no—
97C2×(C2×D7)⋊C4—42no—
98C2×(C2×D7)⋊C4—42no—
99C2×(C2×D7)⋊C4—42no—
100C2×(C2×D7)⋊C4C2314yes—
101C2×(C2×D7)⋊C4C2314yes—
102C2×(C2×D7)⋊C4C2314yes—
103C2×(C2×D7)⋊C4C2314yes—
104C2×(C2×D7)⋊C4C2314yes—
105C2×(C2×D7)⋊C4C2314yes—
106C2×(C2×D7)⋊C4C2314yes—
107C2×C4⋊Dic7—24no—
108C2×C4⋊Dic7—42no—
109C2×C4⋊Dic7C2314yes—
110C2×C4⋊Dic7C2314yes—
111C2×Dic7⋊C4—24no—
112C2×Dic7⋊C4—24no—
113C2×Dic7⋊C4—42no—
114C2×Dic7⋊C4—42no—
115C2×Dic7⋊C4—42no—
116C2×Dic7⋊C4—42no—
117C2×Dic7⋊C4—42no—
118C2×Dic7⋊C4C2314yes—
119C2×Dic7⋊C4C2314yes—
120C2×Dic7⋊C4C2314yes—
121C2×Dic7⋊C4C2314yes—
122C2×Dic7⋊C4C2314yes—
123C2×Dic7⋊C4C2314yes—
124C2×Dic7⋊C4C2314yes—
125C7×#95C2314yes—
126C7×#95C2314yes—
127C7⋊#95C2314yes—
128C7⋊#95C2314yes—
129C7⋊#95C2314yes—
130C7⋊#95C2314yes—
131C7⋊#95C2314yes—
132C7⋊#95C2314yes—
133C7⋊#95C2314yes—
134C7⋊#95C2314yes—
135C7⋊#95C2314yes—
136C7⋊#95C2314yes—
137C7⋊#95C2314yes—
138C7⋊#95C2314yes—
139#2654—716no—
140C2×#400—71no—
141C2×#400—71no—
142C2×#399—71no—
143C2×#398—71no—
144C2×#398—71no—
145C2×#397—71no—
146C2×#397—71no—
147C2×#396—71no—
148C2×#389—71no—
149C2×#388—71no—
150C2×#388—71no—
151C2×#388—71no—
152C2×#387—71no—
153C2×#387—71no—
154C2×C4×C4⋊C4D711yescharacteristic, complemented
155C24×C7C2411yescharacteristic
156C23×D7—22no—
157C23×D7—22no—
158C23×D7—22no—
159C23×D7—22no—
160C23×D7—22no—
161C23×D7—22no—
162C23×D7—22no—
163C23×D7C2412yes—
164C22×C4×C7—22no—
165C22×C4×C7—22no—
166C22×C4×C7—22no—
167C22×C4×C7—22no—
168C22×C4×C7—22no—
169C22×C4×C7—22no—
170C22×C4×C7—22no—
171C22×C4×C7—22no—
172C22×C4×C7—22no—
173C22×C4×C7—22no—
174C22×C4×C7—22no—
175C22×C4×C7—22no—
176C22×C4×C7—22no—
177C22×C4×C7—22no—
178C22×C4×C7—22no—
179C22×C4×C7—22no—
180C22×C4×C7—22no—
181C22×C4×C7—22no—
182C22×C4×C7#4114yes—
183C22×C4×C7#4114yes—
184C22×C4×C7#4114yes—
185C22×C4×C7C2412yes—
186C22×C4×C7C2412yes—
187C22×C4×C7C2412yes—
188C22×C4×C7C2412yes—
189C22×C4×C7C2412yes—
190C22×C4×C7C2412yes—
191C22×C4×C7C2412yes—
192C22×Dic7—22no—
193C22×Dic7—22no—
194C22×Dic7—22no—
195C22×Dic7—22no—
196C22×Dic7—22no—
197C22×Dic7—22no—
198C22×Dic7—22no—
199C22×Dic7—22no—
200C22×Dic7—22no—
201C22×Dic7—22no—
202C22×Dic7—22no—
203C22×Dic7—22no—
204C22×Dic7—22no—
205C22×Dic7—22no—
206C22×Dic7—22no—
207C22×Dic7—22no—
208C22×Dic7—22no—
209C22×Dic7—22no—
210C22×Dic7—22no—
211C22×Dic7—22no—
212C22×Dic7—22no—
213C22×Dic7C2412yes—
214C22×Dic7C2412yes—
215C22×Dic7C2412yes—
216C22×Dic7C2412yes—
217C22×Dic7C2412yes—
218C22×Dic7C2412yes—
219C22×Dic7C2412yes—
220C7×C4⋊C4—28no—
221C7×C4⋊C4—28no—
222C42×C7—28no—
223C42×C7—44no—
224C42×C7—44no—
225(C2×D7)⋊C4—28no—
226(C2×D7)⋊C4—28no—
227(C2×D7)⋊C4—28no—
228(C2×D7)⋊C4—44no—
229(C2×D7)⋊C4—44no—
230(C2×D7)⋊C4—44no—
231(C2×D7)⋊C4—44no—
232C4⋊Dic7—28no—
233C4⋊Dic7—44no—
234Dic7⋊C4—28no—
235Dic7⋊C4—28no—
236Dic7⋊C4—44no—
237Dic7⋊C4—44no—
238Dic7⋊C4—44no—
239Dic7⋊C4—44no—
240Dic7⋊C4—44no—
241C22×C4⋊C4—71no—
242C22×C4⋊C4—71no—
243C22×C4⋊C4—71no—
244C22×C4⋊C4—71no—
245C22×C4⋊C4—71no—
246C22×C4⋊C4—71no—
247C22×C4⋊C4—71no—
248C22×C4⋊C4—71no—
249C22×C4⋊C4—71no—
250C22×C4⋊C4C2×D711yescharacteristic
251C22×C4⋊C4C2×D711yescharacteristic
252C22×C22⋊C4—71no—
253C22×C22⋊C4—71no—
254C22×C22⋊C4—71no—
255C22×C22⋊C4—71no—
256C22×C22⋊C4—71no—
257C22×C22⋊C4—71no—
258C22×C22⋊C4—71no—
259C22×C42C2×D711yescharacteristic
260C22×C42C2×D711yescharacteristic
261C22×C42C2×D711yescharacteristic
262#400—78no—
263#400—78no—
264#399—78no—
265#398—78no—
266#398—78no—
267#397—78no—
268#397—78no—
269#396—78no—
270#389—78no—
271#388—78no—
272#388—78no—
273#388—78no—
274#387—78no—
275#387—78no—
276C4×C4⋊C4C2×D718yescomplemented
277C2×#95—71no—
278C2×#95—71no—
279C2×#95—71no—
280C2×#95—71no—
281C2×#95—71no—
282C2×#95—71no—
283C2×#95—71no—
284C2×#95—71no—
285C2×#95—71no—
286C2×#95—71no—
287C2×#95—71no—
288C2×#95—71no—
289C2×#95C2×D711yescharacteristic
290C2×#95C2×D711yescharacteristic
291C23×C7C2×#4112yes—
292C23×C7C2×#4112yes—
293C23×C7C2×#4112yes—
294C23×C7H(5,𝔽2)12yes—
295C23×C7H(5,𝔽2)12yes—
296C23×C72−1+412yes—
297C23×C72−1+412yes—
298C23×C7C2511yescharacteristic
299C22×D7—22no—
300C22×D7—22no—
301C22×D7—22no—
302C22×D7—22no—
303C22×D7—22no—
304C22×D7—22no—
305C22×D7—22no—
306C22×D7—44no—
307C22×D7—44no—
308C22×D7—44no—
309C22×D7—44no—
310C22×D7—44no—
311C22×D7—44no—
312C22×D7—44no—
313C2×C4×C7—28no—
314C2×C4×C7—28no—
315C2×C4×C7—28no—
316C2×C4×C7—22no—
317C2×C4×C7—22no—
318C2×C4×C7—22no—
319C2×C4×C7—22no—
320C2×C4×C7—22no—
321C2×C4×C7—22no—
322C2×C4×C7—22no—
323C2×C4×C7—22no—
324C2×C4×C7—22no—
325C2×C4×C7—22no—
326C2×C4×C7—22no—
327C2×C4×C7—22no—
328C2×C4×C7—22no—
329C2×C4×C7—22no—
330C2×C4×C7—22no—
331C2×C4×C7—22no—
332C2×C4×C7—22no—
333C2×C4×C7—22no—
334C2×C4×C7—44no—
335C2×C4×C7—44no—
336C2×C4×C7—44no—
337C2×C4×C7—44no—
338C2×C4×C7C2×#4114yes—
339C2×C4×C7C2×#4114yes—
340C2×C4×C7C2×#4114yes—
341C2×Dic7—22no—
342C2×Dic7—22no—
343C2×Dic7—22no—
344C2×Dic7—22no—
345C2×Dic7—22no—
346C2×Dic7—22no—
347C2×Dic7—22no—
348C2×Dic7—22no—
349C2×Dic7—22no—
350C2×Dic7—22no—
351C2×Dic7—22no—
352C2×Dic7—22no—
353C2×Dic7—22no—
354C2×Dic7—22no—
355C2×Dic7—22no—
356C2×Dic7—22no—
357C2×Dic7—22no—
358C2×Dic7—22no—
359C2×Dic7—22no—
360C2×Dic7—22no—
361C2×Dic7—22no—
362C2×Dic7—44no—
363C2×Dic7—44no—
364C2×Dic7—44no—
365C2×Dic7—44no—
366C2×Dic7—44no—
367C2×Dic7—44no—
368C2×Dic7—44no—
369C25—71no—
370C23×C4—71no—
371C23×C4—71no—
372C23×C4—71no—
373C23×C4—71no—
374C23×C4—71no—
375C23×C4—71no—
376C23×C4—71no—
377C23×C4C22×D711yescharacteristic
378C23×C4C22×D711yescharacteristic
379C23×C4C22×D711yescharacteristic
380C23×C4C22×D711yescharacteristic
381C23×C4C22×D711yescharacteristic
382C23×C4C22×D711yescharacteristic
383C23×C4C22×D711yescharacteristic
384C2×C4⋊C4—24no—
385C2×C4⋊C4—24no—
386C2×C4⋊C4—74no—
387C2×C4⋊C4—74no—
388C2×C4⋊C4—74no—
389C2×C4⋊C4—74no—
390C2×C4⋊C4—74no—
391C2×C4⋊C4—74no—
392C2×C4⋊C4—74no—
393C2×C4⋊C4—74no—
394C2×C4⋊C4—74no—
395C2×C4⋊C4—144no—
396C2×C4⋊C4—144no—
397C2×C4⋊C4—144no—
398C2×C4⋊C4—282no—
399C2×C4⋊C4—282no—
400C2×C4⋊C4—282no—
401C2×C4⋊C4—282no—
402C2×C4⋊C4—282no—
403C2×C4⋊C4—282no—
404C2×C4⋊C4C22×D714yes—
405C2×C4⋊C4C22×D714yes—
406C2×C22⋊C4—74no—
407C2×C22⋊C4—74no—
408C2×C22⋊C4—74no—
409C2×C22⋊C4—74no—
410C2×C22⋊C4—74no—
411C2×C22⋊C4—74no—
412C2×C22⋊C4—74no—
413C2×C22⋊C4—144no—
414C2×C22⋊C4—144no—
415C2×C22⋊C4—144no—
416C2×C22⋊C4—282no—
417C2×C22⋊C4—282no—
418C2×C22⋊C4—282no—
419C2×C22⋊C4—282no—
420C2×C42—24no—
421C2×C42—42no—
422C2×C42—42no—
423C2×C42C22×D714yes—
424C2×C42C22×D714yes—
425C2×C42C22×D714yes—
426#95—74no—
427#95—74no—
428#95—74no—
429#95—74no—
430#95—74no—
431#95—74no—
432#95—74no—
433#95—74no—
434#95—74no—
435#95—74no—
436#95—74no—
437#95—74no—
438#95C22×D714yes—
439#95C22×D714yes—
440C22×C7#52914yes—
441C22×C7#53914yes—
442C22×C7#53914yes—
443C22×C7#54014yes—
444C22×C7#54114yes—
445C22×C7#54214yes—
446C22×C7#54214yes—
447C22×C7C22×#4111yescharacteristic
448C22×C7C22×#4111yescharacteristic
449C22×C7C22×#4111yescharacteristic
450C22×C7C2×H(5,𝔽2)11yescharacteristic
451C22×C7C2×H(5,𝔽2)11yescharacteristic
452C22×C7C2×2−1+411yescharacteristic
453C22×C7C2×2−1+411yescharacteristic
454C2×D7—42no—
455C2×D7—42no—
456C2×D7—42no—
457C2×D7—42no—
458C2×D7—42no—
459C2×D7—42no—
460C2×D7—42no—
461C2×D7—88no—
462C4×C7—24no—
463C4×C7—24no—
464C4×C7—24no—
465C4×C7—42no—
466C4×C7—42no—
467C4×C7—42no—
468C4×C7—42no—
469Dic7—42no—
470Dic7—42no—
471Dic7—42no—
472Dic7—42no—
473Dic7—42no—
474Dic7—42no—
475Dic7—42no—
476C24—72no—
477C24—142no—
478C24—142no—
479C24—142no—
480C24—142no—
481C24—142no—
482C24—142no—
483C24—142no—
484C24C23×D711yescharacteristic
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—72no—
504C22×C4—72no—
505C22×C4—72no—
506C22×C4—72no—
507C22×C4—72no—
508C22×C4—72no—
509C22×C4—72no—
510C22×C4—142no—
511C22×C4—142no—
512C22×C4—142no—
513C22×C4—142no—
514C22×C4—142no—
515C22×C4—142no—
516C22×C4—142no—
517C22×C4—142no—
518C22×C4—142no—
519C22×C4—142no—
520C22×C4—142no—
521C22×C4—142no—
522C22×C4—142no—
523C22×C4—142no—
524C22×C4—142no—
525C22×C4—142no—
526C22×C4—142no—
527C22×C4—142no—
528C22×C4—142no—
529C22×C4—142no—
530C22×C4—142no—
531C22×C4#115714yes—
532C22×C4#115714yes—
533C22×C4#115714yes—
534C22×C4C23×D712yes—
535C22×C4C23×D712yes—
536C22×C4C23×D712yes—
537C22×C4C23×D712yes—
538C22×C4C23×D712yes—
539C22×C4C23×D712yes—
540C22×C4C23×D712yes—
541C4⋊C4—28no—
542C4⋊C4—28no—
543C4⋊C4—148no—
544C4⋊C4—148no—
545C4⋊C4—148no—
546C4⋊C4—284no—
547C4⋊C4—284no—
548C4⋊C4—284no—
549C4⋊C4—284no—
550C4⋊C4—284no—
551C4⋊C4—284no—
552C22⋊C4—148no—
553C22⋊C4—148no—
554C22⋊C4—148no—
555C22⋊C4—284no—
556C22⋊C4—284no—
557C22⋊C4—284no—
558C22⋊C4—284no—
559C42—28no—
560C42—44no—
561C42—44no—
562C2×C7#265418yescomplemented
563C2×C7C2×#52911yescharacteristic
564C2×C7C2×#53911yescharacteristic
565C2×C7C2×#53911yescharacteristic
566C2×C7C2×#54011yescharacteristic
567C2×C7C2×#54111yescharacteristic
568C2×C7C2×#54211yescharacteristic
569C2×C7C2×#54211yescharacteristic
570D7—82no—
571C23—142no—
572C23—142no—
573C23—142no—
574C23—142no—
575C23—142no—
576C23—142no—
577C23—142no—
578C23—284no—
579C23—284no—
580C23—284no—
581C23—284no—
582C23—284no—
583C23—284no—
584C23—284no—
585C23C2×#115712yes—
586C23C2×#115712yes—
587C23C2×#115712yes—
588C23#654812yes—
589C23#655112yes—
590C23#655312yes—
591C23#655412yes—
592C23C24×D711yescharacteristic
593C2×C4—28no—
594C2×C4—28no—
595C2×C4—28no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—44no—
615C2×C4—44no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—142no—
619C2×C4—142no—
620C2×C4—142no—
621C2×C4—142no—
622C2×C4—142no—
623C2×C4—142no—
624C2×C4—142no—
625C2×C4—142no—
626C2×C4—142no—
627C2×C4—142no—
628C2×C4—142no—
629C2×C4—142no—
630C2×C4—142no—
631C2×C4—142no—
632C2×C4—142no—
633C2×C4—142no—
634C2×C4—142no—
635C2×C4—142no—
636C2×C4—142no—
637C2×C4—142no—
638C2×C4—142no—
639C2×C4—284no—
640C2×C4—284no—
641C2×C4—284no—
642C2×C4—284no—
643C2×C4—284no—
644C2×C4—284no—
645C2×C4—284no—
646C2×C4C2×#115714yes—
647C2×C4C2×#115714yes—
648C2×C4C2×#115714yes—
649C7C2×#265411yescharacteristic, complemented, Sylow
650C22—282no—
651C22—282no—
652C22—282no—
653C22—282no—
654C22—282no—
655C22—282no—
656C22—282no—
657C22—568no—
658C22#9017014yes—
659C22#9020614yes—
660C22#9022514yes—
661C22#9025314yes—
662C22#9025514yes—
663C22#9027314yes—
664C22#9027414yes—
665C22C22×#115711yescharacteristic
666C22C22×#115711yescharacteristic
667C22C22×#115711yescharacteristic
668C22C2×#654811yescharacteristic
669C22C2×#655111yescharacteristic
670C22C2×#655311yescharacteristic
671C22C2×#655411yescharacteristic
672C4—24no—
673C4—24no—
674C4—24no—
675C4—42no—
676C4—42no—
677C4—42no—
678C4—42no—
679C4—282no—
680C4—282no—
681C4—282no—
682C4—282no—
683C4—282no—
684C4—282no—
685C4—282no—
686C2—562no—
687C2#1173119018yesdirect product factor
688C2C2×#9017011yescharacteristic
689C2C2×#9020611yescharacteristic
690C2C2×#9022511yescharacteristic
691C2C2×#9025511yescharacteristic
692C2C2×#9025311yescharacteristic
693C2C2×#9027411yescharacteristic
694C2C2×#9027311yescharacteristic
subgroupG/H
centerC24C23×D7
commutator, cosocleC23×C7C25
FrattiniC23C24×D7
FittingC2×C4×C7×C4⋊C4C2
socleC24×C7C24
prime radicalC24×D7C23
hypercenterC2×C4×C4⋊C4D7
hypocenterC7C2×#2654
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×C4×C7×C4⋊C4C2semidirect
4. C2×#89758C2semidirect
5. C2×#89752C2semidirect
6. C2×#89700C2semidirect
10. C2×#89705C2semidirect
11. C2×#89705C2semidirect
12. #11731190C2direct (N × H)
14. C2×#89430C2semidirect
15. C2×#89429C2semidirect
38. C4×C7×C4⋊C4C22semidirect
55. #89758C22semidirect
56. #89752C22semidirect
60. #89705C22semidirect
61. #89705C22semidirect
62. #89700C22semidirect
65. #89430C22semidirect
66. #89429C22semidirect
154. C2×C4×C4⋊C4D7semidirect
276. C4×C4⋊C4C2×D7semidirect
562. C2×C7#2654semidirect
649. C7C2×#2654semidirect
687. C2#11731190direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×C7×C4⋊C42
C2×#897642
C2×#897662
C2×#897582
C2×#897522
C2×#897002
C2×#897122
C2×#897052
#117311902
C2×#894472
C2×#894302
C2×#894292
C2×#894462
C2×#26547