Finite Group Databasebeta

← #13275815

Subgroups — #13275815

Order 1792.

1486 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#384C211yesmaximal, characteristic
2C2×#89750C212yesmaximal
3C2×C4⋊C4×Dic7C211yesmaximal, characteristic
4C2×C4×Dic7⋊C4C211yesmaximal, characteristic
5#11729321C212yesmaximal
6#11729320C212yesmaximal
7#11729318C212yesmaximal
8#11729317C211yesmaximal, characteristic
9#11729317C211yesmaximal, characteristic
10#11729317C211yesmaximal, characteristic
11#11729289C211yesmaximal, characteristic
12C22×C7×C4⋊C4C2211yescharacteristic
13C22×C7×C4⋊C4C2212yes—
14C22×C7×C4⋊C4C2212yes—
15C22×C7×C4⋊C4C2211yescharacteristic
16C22×C42×C7C2211yescharacteristic
17C22×C4⋊Dic7C2211yescharacteristic
18C22×C4⋊Dic7C2211yescharacteristic
19C22×Dic7⋊C4C2211yescharacteristic
20C22×Dic7⋊C4C2211yescharacteristic
21C22×C4×Dic7C2212yes—
22C22×C4×Dic7C2211yescharacteristic
23C22×C4×Dic7C2211yescharacteristic
24C7×#384—24no—
25C2×C7⋊#95C2212yes—
26C2×C7⋊#95C2212yes—
27C2×C7⋊#95C2212yes—
28C2×C7⋊#95C2212yes—
29C2×C7⋊#95C2212yes—
30C2×C7⋊#95C2212yes—
31C2×C7⋊#95C2212yes—
32C2×C7⋊#95C2212yes—
33C2×C7⋊#95C2212yes—
34C2×C7⋊#95C2211yescharacteristic
35C2×C7⋊#95C2211yescharacteristic
36#89750—28no—
37C4⋊C4×Dic7—24no—
38C4×Dic7⋊C4C418yescomplemented
39#13884—71nomaximal, Sylow
40C23×C4×C7C2312yes—
41C23×C4×C7C2312yes—
42C23×C4×C7C2311yescharacteristic
43C23×C4×C7C2311yescharacteristic
44C23×C4×C7C2311yescharacteristic
45C23×Dic7C2312yes—
46C23×Dic7C2311yescharacteristic
47C23×Dic7C2311yescharacteristic
48C23×Dic7C2312yes—
49C23×Dic7C2311yescharacteristic
50C23×Dic7C2311yescharacteristic
51C2×C7×C4⋊C4—22no—
52C2×C7×C4⋊C4—22no—
53C2×C7×C4⋊C4—24no—
54C2×C7×C4⋊C4—24no—
55C2×C7×C4⋊C4—24no—
56C2×C7×C4⋊C4—22no—
57C2×C7×C4⋊C4—24no—
58C2×C7×C4⋊C4—22no—
59C2×C7×C4⋊C4—22no—
60C2×C7×C4⋊C4—42no—
61C2×C7×C4⋊C4—42no—
62C2×C7×C4⋊C4D414yes—
63C2×C42×C7—22no—
64C2×C42×C7—22no—
65C2×C42×C7C2×C414yes—
66C2×C4⋊Dic7—22no—
67C2×C4⋊Dic7—22no—
68C2×C4⋊Dic7—22no—
69C2×C4⋊Dic7—22no—
70C2×C4⋊Dic7—22no—
71C2×C4⋊Dic7Q814yes—
72C2×Dic7⋊C4—22no—
73C2×Dic7⋊C4—22no—
74C2×Dic7⋊C4C2×C414yes—
75C2×Dic7⋊C4C2×C414yes—
76C2×Dic7⋊C4D414yes—
77C2×Dic7⋊C4Q814yes—
78C2×C4×Dic7—22no—
79C2×C4×Dic7—22no—
80C2×C4×Dic7—22no—
81C2×C4×Dic7—22no—
82C2×C4×Dic7—24no—
83C2×C4×Dic7—24no—
84C2×C4×Dic7—42no—
85C2×C4×Dic7C2×C414yes—
86C2×C4×Dic7C2×C414yes—
87C7⋊#95—24no—
88C7⋊#95—24no—
89C7⋊#95—24no—
90C7⋊#95—24no—
91C7⋊#95—24no—
92C7⋊#95—24no—
93C7⋊#95—42no—
94C7⋊#95—42no—
95C7⋊#95—42no—
96C7⋊#95C2×C414yes—
97C7⋊#95C2×C414yes—
98C2×#387—72no—
99C2×#384D711yescharacteristic
100C2×C4×C4⋊C4—71no—
101C2×C4×C4⋊C4—71no—
102#1442—72no—
103#1441—72no—
104#1436—72no—
105C4⋊#95—71no—
106C4⋊#95—71no—
107C4⋊#95—71no—
108C4⋊#95—71no—
109C24×C7C2411yescharacteristic
110C22×C4×C7—21no—
111C22×C4×C7—21no—
112C22×C4×C7—21no—
113C22×C4×C7—21no—
114C22×C4×C7—21no—
115C22×C4×C7—21no—
116C22×C4×C7—21no—
117C22×C4×C7—21no—
118C22×C4×C7—22no—
119C22×C4×C7—22no—
120C22×C4×C7—22no—
121C22×C4×C7—22no—
122C22×C4×C7—22no—
123C22×C4×C7—22no—
124C22×C4×C7—22no—
125C22×C4×C7—22no—
126C22×C4×C7—22no—
127C22×C4×C7—22no—
128C22×C4×C7—22no—
129C22×C4×C7—22no—
130C22×C4×C7—22no—
131C22×C4×C7C22×C412yes—
132C22×C4×C7C22×C412yes—
133C22×C4×C7C22×C412yes—
134C22×C4×C7C2×D414yes—
135C22×C4×C7C2×D412yes—
136C22×C4×C7C2×D412yes—
137C22×C4×C7C2×Q812yes—
138C22×C4×C7C2×Q812yes—
139C22×C4×C7#4112yes—
140C22×C4×C7#4112yes—
141C22×C4×C7#4112yes—
142C22×C4×C7#4112yes—
143C22×C4×C7#4112yes—
144C22×C4×C7#4112yes—
145C22×Dic7—21no—
146C22×Dic7—21no—
147C22×Dic7—21no—
148C22×Dic7—21no—
149C22×Dic7—21no—
150C22×Dic7—21no—
151C22×Dic7—21no—
152C22×Dic7—21no—
153C22×Dic7—21no—
154C22×Dic7—22no—
155C22×Dic7—22no—
156C22×Dic7—22no—
157C22×Dic7—21no—
158C22×Dic7—21no—
159C22×Dic7—21no—
160C22×Dic7—21no—
161C22×Dic7—21no—
162C22×Dic7—22no—
163C22×Dic7—21no—
164C22×Dic7—21no—
165C22×Dic7—21no—
166C22×Dic7—22no—
167C22×Dic7—21no—
168C22×Dic7—21no—
169C22×Dic7—21no—
170C22×Dic7—22no—
171C22×Dic7—22no—
172C22×Dic7—22no—
173C22×Dic7—22no—
174C22×Dic7—22no—
175C22×Dic7—22no—
176C22×Dic7—22no—
177C22×Dic7—22no—
178C22×Dic7C22×C412yes—
179C22×Dic7C22×C412yes—
180C22×Dic7C22×C412yes—
181C22×Dic7C22×C412yes—
182C22×Dic7C2×D412yes—
183C22×Dic7C2×D412yes—
184C22×Dic7C2×Q814yes—
185C22×Dic7C2×Q812yes—
186C22×Dic7C2×Q812yes—
187C7×C4⋊C4—28no—
188C7×C4⋊C4—48no—
189C7×C4⋊C4—48no—
190C7×C4⋊C4—44no—
191C42×C7—28no—
192C4⋊Dic7—28no—
193C4⋊Dic7—44no—
194Dic7⋊C4—28no—
195Dic7⋊C4C4⋊C4116yescomplemented
196C4×Dic7—28no—
197C4×Dic7—28no—
198C4×Dic7—48no—
199C22×C4⋊C4—71no—
200C22×C4⋊C4—71no—
201C22×C4⋊C4—71no—
202C22×C4⋊C4—71no—
203C22×C4⋊C4C2×D711yescharacteristic
204C22×C4⋊C4C2×D712yes—
205C22×C4⋊C4C2×D712yes—
206C22×C4⋊C4C2×D711yescharacteristic
207C22×C42—71no—
208C22×C42—71no—
209C22×C42—72no—
210C22×C42C2×D711yescharacteristic
211#387—148no—
212#384—24no—
213C4×C4⋊C4—78no—
214C4×C4⋊C4—144no—
215C2×#95—71no—
216C2×#95—71no—
217C2×#95—72no—
218C2×#95—72no—
219C2×#95—72no—
220C2×#95—72no—
221C2×#95—72no—
222C2×#95—72no—
223C2×#95—72no—
224C2×#95—72no—
225C2×#95—72no—
226C23×C7C23×C411yescharacteristic
227C23×C7C22×D411yescharacteristic
228C23×C7C22×D411yescharacteristic
229C23×C7C22×Q811yescharacteristic
230C23×C7C22×Q811yescharacteristic
231C23×C7C2×#4111yescharacteristic
232C23×C7C2×#4111yescharacteristic
233C23×C7C2×#4111yescharacteristic
234C23×C7C2×#4111yescharacteristic
235C23×C7C2×#4111yescharacteristic
236C23×C7C2×#4111yescharacteristic
237C23×C7H(5,𝔽2)11yescharacteristic
238C23×C7H(5,𝔽2)11yescharacteristic
239C23×C72−1+411yescharacteristic
240C23×C72−1+411yescharacteristic
241C2×C4×C7—22no—
242C2×C4×C7—22no—
243C2×C4×C7—22no—
244C2×C4×C7—22no—
245C2×C4×C7—22no—
246C2×C4×C7—22no—
247C2×C4×C7—22no—
248C2×C4×C7—22no—
249C2×C4×C7—22no—
250C2×C4×C7—22no—
251C2×C4×C7—22no—
252C2×C4×C7—22no—
253C2×C4×C7—24no—
254C2×C4×C7—24no—
255C2×C4×C7—24no—
256C2×C4×C7—42no—
257C2×C4×C7—42no—
258C2×C4×C7—42no—
259C2×C4×C7—42no—
260C2×C4×C7—42no—
261C2×C4×C7—42no—
262C2×C4×C7—42no—
263C2×C4×C7—42no—
264C2×C4×C7—42no—
265C2×C4×C7—42no—
266C2×C4×C7—42no—
267C2×C4×C7C2×C4⋊C414yes—
268C2×C4×C7#11714yes—
269C2×C4×C7#11714yes—
270C2×C4×C7C4×D414yes—
271C2×C4×C7C4×Q814yes—
272C2×C4×C7C22⋊Q814yes—
273C2×C4×C7#12314yes—
274C2×C4×C7#12514yes—
275C2×C4×C7#12614yes—
276C2×Dic7—22no—
277C2×Dic7—22no—
278C2×Dic7—22no—
279C2×Dic7—22no—
280C2×Dic7—22no—
281C2×Dic7—22no—
282C2×Dic7—22no—
283C2×Dic7—22no—
284C2×Dic7—22no—
285C2×Dic7—22no—
286C2×Dic7—22no—
287C2×Dic7—22no—
288C2×Dic7—22no—
289C2×Dic7—22no—
290C2×Dic7—22no—
291C2×Dic7—22no—
292C2×Dic7—22no—
293C2×Dic7—22no—
294C2×Dic7—24no—
295C2×Dic7—24no—
296C2×Dic7—24no—
297C2×Dic7—42no—
298C2×Dic7—41no—
299C2×Dic7—41no—
300C2×Dic7—41no—
301C2×Dic7—41no—
302C2×Dic7—42no—
303C2×Dic7—42no—
304C2×Dic7—41no—
305C2×Dic7—41no—
306C2×Dic7—42no—
307C2×Dic7—41no—
308C2×Dic7—41no—
309C2×Dic7—42no—
310C2×Dic7—42no—
311C2×Dic7—42no—
312C2×Dic7—42no—
313C2×Dic7—42no—
314C2×Dic7—42no—
315C2×Dic7—42no—
316C2×Dic7C2×C4⋊C414yes—
317C2×Dic7C2×C4⋊C414yes—
318C23×C4—71no—
319C23×C4—71no—
320C23×C4—71no—
321C23×C4—72no—
322C23×C4—71no—
323C23×C4—72no—
324C23×C4C22×D712yes—
325C23×C4C22×D712yes—
326C23×C4C22×D711yescharacteristic
327C23×C4C22×D711yescharacteristic
328C23×C4C22×D711yescharacteristic
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—24no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—42no—
339C2×C4⋊C4—42no—
340C2×C4⋊C4—74no—
341C2×C4⋊C4—74no—
342C2×C4⋊C4—74no—
343C2×C4⋊C4—74no—
344C2×C4⋊C4—74no—
345C2×C4⋊C4—142no—
346C2×C4⋊C4—142no—
347C2×C4⋊C4—142no—
348C2×C4⋊C4—142no—
349C2×C4⋊C4—142no—
350C2×C4⋊C4—142no—
351C2×C4⋊C4—142no—
352C2×C4⋊C4C22⋊D714yes—
353C2×C42—22no—
354C2×C42—22no—
355C2×C42—74no—
356C2×C42—74no—
357C2×C42—142no—
358C2×C42—142no—
359C2×C42—142no—
360C2×C42—142no—
361C2×C42—144no—
362C2×C42—144no—
363C2×C42—282no—
364C2×C42C4×D714yes—
365#95—74no—
366#95—74no—
367#95—144no—
368#95—144no—
369#95—144no—
370#95—144no—
371#95—144no—
372#95—144no—
373#95—282no—
374#95—282no—
375#95—282no—
376C22×C7C22×C4⋊C411yescharacteristic
377C22×C7C2×#11711yescharacteristic
378C22×C7C2×#11711yescharacteristic
379C22×C7C2×C4×D411yescharacteristic
380C22×C7C2×C4×Q811yescharacteristic
381C22×C7#52011yescharacteristic
382C22×C7#52011yescharacteristic
383C22×C7C2×C22⋊Q811yescharacteristic
384C22×C7C2×#12311yescharacteristic
385C22×C7C2×#12511yescharacteristic
386C22×C7C2×#12611yescharacteristic
387C22×C7#53211yescharacteristic
388C22×C7#53211yescharacteristic
389C22×C7#53311yescharacteristic
390C22×C7#53311yescharacteristic
391C22×C7#54011yescharacteristic
392C22×C7#54111yescharacteristic
393C22×C7#54211yescharacteristic
394C22×C7#54211yescharacteristic
395C22×C7D4211yescharacteristic
396C22×C7#54611yescharacteristic
397C22×C7#54711yescharacteristic
398C22×C7#54811yescharacteristic
399C22×C7D4×Q811yescharacteristic
400C22×C7D4×Q811yescharacteristic
401C22×C7#55011yescharacteristic
402C22×C7#55211yescharacteristic
403C22×C7#55311yescharacteristic
404C22×C7#55411yescharacteristic
405C22×C7#55411yescharacteristic
406C22×C7#55611yescharacteristic
407C22×C7#55711yescharacteristic
408C22×C7#55711yescharacteristic
409C22×C7Q8211yescharacteristic
410C22×C7#55911yescharacteristic
411C4×C7—24no—
412C4×C7—24no—
413C4×C7—44no—
414C4×C7—82no—
415C4×C7#38718yescomplemented
416Dic7—24no—
417Dic7—24no—
418Dic7—42no—
419Dic7—42no—
420Dic7—44no—
421Dic7—82no—
422C24C23×D711yescharacteristic
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—22no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—72no—
445C22×C4—72no—
446C22×C4—72no—
447C22×C4—72no—
448C22×C4—72no—
449C22×C4—72no—
450C22×C4—72no—
451C22×C4—72no—
452C22×C4—74no—
453C22×C4—141no—
454C22×C4—141no—
455C22×C4—141no—
456C22×C4—141no—
457C22×C4—141no—
458C22×C4—141no—
459C22×C4—141no—
460C22×C4—141no—
461C22×C4—141no—
462C22×C4—142no—
463C22×C4—141no—
464C22×C4—141no—
465C22×C4—141no—
466C22×C4—141no—
467C22×C4—141no—
468C22×C4—142no—
469C22×C4—142no—
470C22×C4—141no—
471C22×C4—141no—
472C22×C4—142no—
473C22×C4—142no—
474C22×C4—141no—
475C22×C4—141no—
476C22×C4—141no—
477C22×C4—141no—
478C22×C4—142no—
479C22×C4—142no—
480C22×C4—142no—
481C22×C4—142no—
482C22×C4—142no—
483C22×C4—142no—
484C22×C4—142no—
485C22×C4—142no—
486C22×C4C2×C4×D712yes—
487C22×C4C2×C4×D712yes—
488C22×C4C2×C4×D712yes—
489C22×C4#115712yes—
490C22×C4D4×D712yes—
491C22×C4#115912yes—
492C22×C4#115912yes—
493C22×C4#115912yes—
494C22×C4Q8×D712yes—
495C22×C4Q8×D712yes—
496C22×C4#116112yes—
497C22×C4#116112yes—
498C22×C4C2×C22⋊D714yes—
499C22×C4C2×C22⋊D712yes—
500C4⋊C4—28no—
501C4⋊C4—48no—
502C4⋊C4—48no—
503C4⋊C4—44no—
504C4⋊C4—716no—
505C4⋊C4—148no—
506C4⋊C4—148no—
507C4⋊C4—284no—
508C42—28no—
509C42—148no—
510C42—148no—
511C42—288no—
512C2×C7#228511yescharacteristic
513C2×C7C2×#38711yescharacteristic
514C2×C7#231411yescharacteristic
515C2×C7D4×C4⋊C411yescharacteristic
516C2×C7Q8×C4⋊C411yescharacteristic
517C2×C7#235211yescharacteristic
518C2×C7#235511yescharacteristic
519C2×C7#244511yescharacteristic
520C2×C7#244611yescharacteristic
521C2×C7#245111yescharacteristic
522C2×C7#245211yescharacteristic
523C2×C7#250611yescharacteristic
524C2×C7#250711yescharacteristic
525C2×C7#251111yescharacteristic
526C2×C7#251211yescharacteristic
527C23C22×C4×D711yescharacteristic
528C23C2×#115711yescharacteristic
529C23C2×D4×D711yescharacteristic
530C23C2×#115911yescharacteristic
531C23C2×#115911yescharacteristic
532C23C2×#115911yescharacteristic
533C23#654811yescharacteristic
534C23#654811yescharacteristic
535C23C2×Q8×D711yescharacteristic
536C23C2×Q8×D711yescharacteristic
537C23C2×#116111yescharacteristic
538C23C2×#116111yescharacteristic
539C23#655111yescharacteristic
540C23#655111yescharacteristic
541C23C22×C22⋊D711yescharacteristic
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—24no—
555C2×C4—24no—
556C2×C4—24no—
557C2×C4—42no—
558C2×C4—42no—
559C2×C4—42no—
560C2×C4—42no—
561C2×C4—42no—
562C2×C4—42no—
563C2×C4—42no—
564C2×C4—42no—
565C2×C4—42no—
566C2×C4—42no—
567C2×C4—42no—
568C2×C4—74no—
569C2×C4—74no—
570C2×C4—142no—
571C2×C4—142no—
572C2×C4—142no—
573C2×C4—142no—
574C2×C4—142no—
575C2×C4—142no—
576C2×C4—142no—
577C2×C4—142no—
578C2×C4—142no—
579C2×C4—142no—
580C2×C4—142no—
581C2×C4—142no—
582C2×C4—144no—
583C2×C4—144no—
584C2×C4—142no—
585C2×C4—142no—
586C2×C4—142no—
587C2×C4—142no—
588C2×C4—142no—
589C2×C4—142no—
590C2×C4—144no—
591C2×C4—281no—
592C2×C4—282no—
593C2×C4—281no—
594C2×C4—282no—
595C2×C4—281no—
596C2×C4—281no—
597C2×C4—281no—
598C2×C4—281no—
599C2×C4—282no—
600C2×C4—281no—
601C2×C4—282no—
602C2×C4—281no—
603C2×C4—282no—
604C2×C4—282no—
605C2×C4—282no—
606C2×C4—282no—
607C2×C4—282no—
608C2×C4—282no—
609C2×C4—282no—
610C2×C4#645014yes—
611C2×C4#645214yes—
612C2×C4D7×C4⋊C414yes—
613C2×C4#645514yes—
614C2×C4#645514yes—
615C2×C4#646114yes—
616C2×C4C4×C22⋊D714yes—
617C2×C4#649814yes—
618C2×C4#650914yes—
619C7#1388411yescharacteristic, complemented, Sylow
620C22C2×#645011yescharacteristic
621C22C2×#645211yescharacteristic
622C22C2×D7×C4⋊C411yescharacteristic
623C22C2×#645511yescharacteristic
624C22C2×#645511yescharacteristic
625C22#9019511yescharacteristic
626C22#9019511yescharacteristic
627C22#9019811yescharacteristic
628C22#9020211yescharacteristic
629C22C2×#646111yescharacteristic
630C22#9020411yescharacteristic
631C22#9020511yescharacteristic
632C22#9040411yescharacteristic
633C22#9040711yescharacteristic
634C22#9040911yescharacteristic
635C22#9041011yescharacteristic
636C22#9041211yescharacteristic
637C22#9041211yescharacteristic
638C22#9041311yescharacteristic
639C22#9041611yescharacteristic
640C22#9041811yescharacteristic
641C22#9041911yescharacteristic
642C22#9041911yescharacteristic
643C22#9042111yescharacteristic
644C22#9042211yescharacteristic
645C22#9042311yescharacteristic
646C22#9042411yescharacteristic
647C22#9042411yescharacteristic
648C22C2×C4×C22⋊D711yescharacteristic
649C22C2×#649811yescharacteristic
650C22D4×C22⋊D711yescharacteristic
651C22#9049711yescharacteristic
652C22C2×#650911yescharacteristic
653C22Q8×C22⋊D711yescharacteristic
654C22#9050811yescharacteristic
655C4—24no—
656C4—24no—
657C4—44no—
658C4—82no—
659C4—144no—
660C4—144no—
661C4—284no—
662C4—282no—
663C4—282no—
664C4—562no—
665C4#8975018yescomplemented
666C2#1173176311yescharacteristic
667C2#1173176811yescharacteristic
668C2#1173177011yescharacteristic
669C2#1173177511yescharacteristic
670C2#1173177611yescharacteristic
671C2#1173177711yescharacteristic
672C2#1173177811yescharacteristic
673C2#1173180311yescharacteristic
674C2C2×#8975011yescharacteristic
675C2#1173960611yescharacteristic
676C2C4⋊C4×C22⋊D711yescharacteristic
677C2#1174062111yescharacteristic
678C2#1174067911yescharacteristic
679C2#1174068011yescharacteristic
680C2#1174068111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D7
commutatorC23×C7C23×C4
FittingC2×C7×#384C2
socle, prime radical, cosocleC24×C7C24
hypercenterC2×#384D7
hypocenterC7#13884
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C24 ◁ C2×#384

Complements

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

NH ≅ G/Ntype
38. C4×Dic7⋊C4C4semidirect
195. Dic7⋊C4C4⋊C4semidirect
415. C4×C7#387semidirect
619. C7#13884semidirect
665. C4#89750semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#3842
C2×#897502
C2×C4⋊C4×Dic72
C2×C4×Dic7⋊C42
#117293212
#117293202
#117293182
#117293172
#117292892
#138847