Finite Group Databasebeta

← #13280969

Subgroups — #13280969

Order 1792.

2142 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D7×C4⋊C4C211yesmaximal, characteristic
2C2×#89759C211yesmaximal, characteristic
3C2×#89436C212yesmaximal
4C2×#89439C211yesmaximal, characteristic
5C7×#1441C211yesmaximal, characteristic, complemented
6#11729320C211yesmaximal, characteristic, complemented
7#11729319C211yesmaximal, characteristic, complemented
8(C2×D7)⋊#95C212yesmaximal
9#11727165C212yesmaximal, complemented
10#11727164C211yesmaximal, characteristic, complemented
11#11727163C212yesmaximal, complemented
12C23×C4×D7C2211yescharacteristic
13C23×C4×D7C2211yescharacteristic
14C23×C4×D7C2211yescharacteristic
15C22×C7×C4⋊C4C2211yescharacteristic
16C22×C7×C4⋊C4C2211yescharacteristic
17C22×(C2×D7)⋊C4C2212yes—
18C22×(C2×D7)⋊C4C2212yes—
19C22×C4⋊Dic7C2211yescharacteristic
20C22×C4⋊Dic7C2211yescharacteristic
21C22×Dic7⋊C4C2211yescharacteristic
22C22×Dic7⋊C4C2211yescharacteristic
23C22×Dic7⋊C4C2212yes—
24C2×D7×C4⋊C4—24no—
25C2×D7×C4⋊C4—24no—
26C2×D7×C4⋊C4C418yescomplemented
27C2×C7×#95C2211yescharacteristic
28C2×C7×#95C2212yes—
29C2×C7×#95C2212yes—
30C2×C7⋊#95C2212yes—
31C2×C7⋊#95C2212yes—
32C2×C7⋊#95C2212yes—
33C2×C7⋊#95C2212yes—
34C2×C7⋊#95C2211yescharacteristic
35C2×C7⋊#95C2212yes—
36C2×C7⋊#95C2212yes—
37C2×C7⋊#95C2212yes—
38#89759—24no—
39#89439—24no—
40#89436—28no—
41#14339—71nomaximal, Sylow
42C24×D7C2311yescharacteristic
43C23×C4×C7C2312yes—
44C23×C4×C7C2312yes—
45C23×C4×C7C2311yescharacteristic
46C23×C4×C7C2311yescharacteristic
47C23×C4×C7C2311yescharacteristic
48C23×Dic7C2312yes—
49C23×Dic7C2312yes—
50C23×Dic7C2311yescharacteristic
51C23×Dic7C2311yescharacteristic
52C23×Dic7C2311yescharacteristic
53C22×C4×D7—22no—
54C22×C4×D7—22no—
55C22×C4×D7—22no—
56C22×C4×D7—22no—
57C22×C4×D7—22no—
58C22×C4×D7—22no—
59C22×C4×D7—42no—
60C22×C4×D7—42no—
61C22×C4×D7—42no—
62C22×C4×D7—42no—
63C22×C4×D7C2×C414yes—
64C22×C4×D7C2×C414yes—
65C22×C4×D7C2×C414yes—
66C22×C4×D7D414yes—
67C22×C4×D7D414yes—
68C22×C4×D7D414yes—
69C22×C4×D7Q814yes—
70C2×C7×C4⋊C4—22no—
71C2×C7×C4⋊C4—22no—
72C2×C7×C4⋊C4—22no—
73C2×C7×C4⋊C4—42no—
74C2×C7×C4⋊C4C2×C414yes—
75C2×(C2×D7)⋊C4—24no—
76C2×(C2×D7)⋊C4—24no—
77C2×(C2×D7)⋊C4—24no—
78C2×(C2×D7)⋊C4—24no—
79C2×(C2×D7)⋊C4—24no—
80C2×(C2×D7)⋊C4—24no—
81C2×C4⋊Dic7—22no—
82C2×C4⋊Dic7—22no—
83C2×C4⋊Dic7—22no—
84C2×C4⋊Dic7—42no—
85C2×C4⋊Dic7C2×C414yes—
86C2×Dic7⋊C4—22no—
87C2×Dic7⋊C4—22no—
88C2×Dic7⋊C4—22no—
89C2×Dic7⋊C4—22no—
90C2×Dic7⋊C4—24no—
91C2×Dic7⋊C4—42no—
92C2×Dic7⋊C4—42no—
93C2×Dic7⋊C4C2×C414yes—
94C2×Dic7⋊C4C2×C414yes—
95D7×C4⋊C4—232no—
96C7×#95—24no—
97C7×#95—22no—
98C7×#95—42no—
99C7⋊#95—24no—
100C7⋊#95—22no—
101C7⋊#95—24no—
102C7⋊#95—24no—
103C7⋊#95—24no—
104C7⋊#95—42no—
105C7⋊#95—42no—
106C7⋊#95—42no—
107C23×C4⋊C4—71no—
108C2×#381—72no—
109C2×#380—71no—
110C2×#380—71no—
111#1441—72no—
112#1441—71no—
113#1441—72no—
114#1441—71no—
115#1441—71no—
116#1441D711yescharacteristic, complemented
117C22⋊#95—72no—
118C24×C7C2411yescharacteristic
119C23×D7—22no—
120C23×D7—22no—
121C23×D7—22no—
122C23×D7—22no—
123C23×D7C22×C412yes—
124C23×D7C2×D412yes—
125C23×D7C2×D412yes—
126C23×D7C2×D412yes—
127C23×D7C2×Q812yes—
128C23×D7#4112yes—
129C23×D7#4112yes—
130C22×C4×C7—21no—
131C22×C4×C7—21no—
132C22×C4×C7—21no—
133C22×C4×C7—21no—
134C22×C4×C7—22no—
135C22×C4×C7—22no—
136C22×C4×C7—21no—
137C22×C4×C7—21no—
138C22×C4×C7—22no—
139C22×C4×C7—22no—
140C22×C4×C7—22no—
141C22×C4×C7—22no—
142C22×C4×C7—22no—
143C22×C4×C7—22no—
144C22×C4×C7—22no—
145C22×C4×C7—22no—
146C22×C4×C7—22no—
147C22×C4×C7—22no—
148C22×C4×C7—22no—
149C22×C4×C7—22no—
150C22×C4×C7—22no—
151C22×C4×C7—22no—
152C22×C4×C7—22no—
153C22×C4×C7—22no—
154C22×C4×C7C22×C412yes—
155C22×C4×C7C22×C412yes—
156C22×C4×C7C22×C412yes—
157C22×C4×C7C2×D412yes—
158C22×C4×C7C2×D412yes—
159C22×C4×C7C2×D412yes—
160C22×C4×C7C2×Q812yes—
161C22×Dic7—21no—
162C22×Dic7—21no—
163C22×Dic7—21no—
164C22×Dic7—21no—
165C22×Dic7—22no—
166C22×Dic7—22no—
167C22×Dic7—21no—
168C22×Dic7—21no—
169C22×Dic7—22no—
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×Dic7—22no—
179C22×Dic7—22no—
180C22×Dic7—22no—
181C22×Dic7—22no—
182C22×Dic7—22no—
183C22×Dic7—22no—
184C22×Dic7—22no—
185C22×Dic7C22×C412yes—
186C22×Dic7C22×C412yes—
187C22×Dic7C22×C412yes—
188C22×Dic7C2×D412yes—
189C22×Dic7C2×D412yes—
190C22×Dic7C2×D412yes—
191C22×Dic7C2×Q812yes—
192C2×C4×D7—28no—
193C2×C4×D7—28no—
194C2×C4×D7—28no—
195C2×C4×D7—28no—
196C2×C4×D7—28no—
197C2×C4×D7—28no—
198C2×C4×D7—28no—
199C2×C4×D7—48no—
200C2×C4×D7—48no—
201C2×C4×D7—48no—
202C2×C4×D7—44no—
203C2×C4×D7—44no—
204C2×C4×D7—44no—
205C2×C4×D7—48no—
206C2×C4×D7—44no—
207C2×C4×D7C22⋊C4116yes—
208C2×C4×D7C4⋊C4116yescomplemented
209C7×C4⋊C4—28no—
210C7×C4⋊C4—44no—
211(C2×D7)⋊C4—48no—
212(C2×D7)⋊C4—48no—
213C4⋊Dic7—28no—
214C4⋊Dic7—44no—
215Dic7⋊C4—28no—
216Dic7⋊C4—28no—
217Dic7⋊C4—48no—
218C24×C4—71no—
219C24×C4—71no—
220C24×C4—71no—
221C22×C4⋊C4—71no—
222C22×C4⋊C4—71no—
223C22×C4⋊C4—71no—
224C22×C4⋊C4—78no—
225C22×C4⋊C4—72no—
226C22×C4⋊C4—71no—
227C22×C4⋊C4—144no—
228C22×C4⋊C4—144no—
229C22×C4⋊C4C2×D711yescharacteristic
230C22×C4⋊C4C2×D711yescharacteristic
231C22×C22⋊C4—72no—
232C22×C22⋊C4—72no—
233#381—148no—
234#380—144no—
235#380—144no—
236C2×#95—72no—
237C2×#95—71no—
238C2×#95—72no—
239C2×#95—72no—
240C2×#95—72no—
241C2×#95—72no—
242C2×#95—72no—
243C2×#95—72no—
244C2×#95C2×D711yescharacteristic
245C2×#95C2×D712yes—
246C2×#95C2×D712yes—
247C23×C7C23×C411yescharacteristic
248C23×C7C22×D411yescharacteristic
249C23×C7C22×D411yescharacteristic
250C23×C7C22×D411yescharacteristic
251C23×C7C22×Q811yescharacteristic
252C23×C7C2×#4111yescharacteristic
253C23×C7C2×#4111yescharacteristic
254C23×C7H(5,𝔽2)12yes—
255C23×C7H(5,𝔽2)12yes—
256C23×C72−1+412yes—
257C23×C72−1+412yes—
258C22×D7—24no—
259C22×D7—24no—
260C22×D7—22no—
261C22×D7—24no—
262C22×D7—22no—
263C22×D7—22no—
264C22×D7—24no—
265C22×D7—22no—
266C22×D7—24no—
267C22×D7—24no—
268C22×D7—24no—
269C22×D7—24no—
270C22×D7—24no—
271C22×D7—24no—
272C22×D7—24no—
273C22×D7—24no—
274C22×D7C2×C22⋊C414yes—
275C22×D7C2×C4⋊C414yes—
276C22×D7#11714yes—
277C22×D7#12114yes—
278C22×D7#12114yes—
279C22×D7C22⋊Q814yes—
280C22×D7C22⋊Q814yes—
281C2×C4×C7—22no—
282C2×C4×C7—22no—
283C2×C4×C7—24no—
284C2×C4×C7—22no—
285C2×C4×C7—22no—
286C2×C4×C7—22no—
287C2×C4×C7—22no—
288C2×C4×C7—22no—
289C2×C4×C7—22no—
290C2×C4×C7—24no—
291C2×C4×C7—22no—
292C2×C4×C7—24no—
293C2×C4×C7—41no—
294C2×C4×C7—42no—
295C2×C4×C7—41no—
296C2×C4×C7—42no—
297C2×C4×C7—42no—
298C2×C4×C7—42no—
299C2×C4×C7—42no—
300C2×C4×C7—42no—
301C2×C4×C7—42no—
302C2×C4×C7—42no—
303C2×C4×C7—42no—
304C2×C4×C7—42no—
305C2×C4×C7—42no—
306C2×C4×C7—42no—
307C2×C4×C7—42no—
308C2×C4×C7—42no—
309C2×C4×C7—42no—
310C2×C4×C7C2×C22⋊C414yes—
311C2×C4×C7C2×C4⋊C414yes—
312C2×Dic7—22no—
313C2×Dic7—22no—
314C2×Dic7—24no—
315C2×Dic7—22no—
316C2×Dic7—22no—
317C2×Dic7—22no—
318C2×Dic7—22no—
319C2×Dic7—24no—
320C2×Dic7—22no—
321C2×Dic7—22no—
322C2×Dic7—22no—
323C2×Dic7—24no—
324C2×Dic7—41no—
325C2×Dic7—42no—
326C2×Dic7—41no—
327C2×Dic7—42no—
328C2×Dic7—42no—
329C2×Dic7—42no—
330C2×Dic7—42no—
331C2×Dic7—42no—
332C2×Dic7—42no—
333C2×Dic7—42no—
334C2×Dic7—42no—
335C2×Dic7—42no—
336C2×Dic7—42no—
337C2×Dic7—42no—
338C2×Dic7—42no—
339C2×Dic7—42no—
340C2×Dic7—42no—
341C2×Dic7C2×C22⋊C414yes—
342C2×Dic7C2×C4⋊C414yes—
343C4×D7—232no—
344C4×D7—416no—
345C4×D7—416no—
346C25—71no—
347C23×C4—71no—
348C23×C4—71no—
349C23×C4—74no—
350C23×C4—74no—
351C23×C4—74no—
352C23×C4—74no—
353C23×C4—74no—
354C23×C4—74no—
355C23×C4—71no—
356C23×C4—74no—
357C23×C4—72no—
358C23×C4—72no—
359C23×C4—142no—
360C23×C4—142no—
361C23×C4—142no—
362C23×C4—142no—
363C23×C4—142no—
364C23×C4—142no—
365C23×C4—282no—
366C23×C4—282no—
367C23×C4—282no—
368C23×C4—282no—
369C23×C4C22×D712yes—
370C23×C4C22×D712yes—
371C23×C4C22×D711yescharacteristic
372C23×C4C22×D711yescharacteristic
373C23×C4C22×D711yescharacteristic
374C2×C4⋊C4—22no—
375C2×C4⋊C4—22no—
376C2×C4⋊C4—22no—
377C2×C4⋊C4—42no—
378C2×C4⋊C4—74no—
379C2×C4⋊C4—74no—
380C2×C4⋊C4—74no—
381C2×C4⋊C4—1432no—
382C2×C4⋊C4—142no—
383C2×C4⋊C4—142no—
384C2×C4⋊C4—142no—
385C2×C4⋊C4—142no—
386C2×C4⋊C4—142no—
387C2×C4⋊C4—142no—
388C2×C4⋊C4—144no—
389C2×C4⋊C4—142no—
390C2×C4⋊C4—282no—
391C2×C4⋊C4—282no—
392C2×C4⋊C4—282no—
393C2×C4⋊C4C4×D714yes—
394C2×C22⋊C4—144no—
395C2×C22⋊C4—144no—
396C2×C22⋊C4—144no—
397C2×C22⋊C4—144no—
398C2×C22⋊C4—144no—
399C2×C22⋊C4—144no—
400#95—22no—
401#95—24no—
402#95—42no—
403#95—144no—
404#95—144no—
405#95—144no—
406#95—142no—
407#95—144no—
408#95—282no—
409#95—282no—
410#95—282no—
411C22×C7C22×C22⋊C411yescharacteristic
412C22×C7C22×C4⋊C411yescharacteristic
413C22×C7C2×#11711yescharacteristic
414C22×C7#51812yes—
415C22×C7#51912yes—
416C22×C7C2×#12111yescharacteristic
417C22×C7C2×#12111yescharacteristic
418C22×C7C2×C22⋊Q811yescharacteristic
419C22×C7C2×C22⋊Q811yescharacteristic
420C22×C7#53411yescharacteristic
421C22×C7#53412yes—
422C22×C7#53411yescharacteristic
423C22×C7#53611yescharacteristic
424C22×C7#53612yes—
425C22×C7#53611yescharacteristic
426C22×C7#53712yes—
427C22×C7#53712yes—
428C22×C7#53912yes—
429C22×C7#53912yes—
430C22×C7#53912yes—
431C22×C7#53912yes—
432C22×C7#54412yes—
433C22×C7#54412yes—
434C2×D7—24no—
435C2×D7—24no—
436C2×D7—28no—
437C2×D7—28no—
438C2×D7—24no—
439C2×D7—28no—
440C2×D7—24no—
441C2×D7—28no—
442C2×D7—24no—
443C2×D7—24no—
444C2×D7#38018yes—
445C4×C7—24no—
446C4×C7—24no—
447C4×C7—42no—
448C4×C7—82no—
449C4×C7—82no—
450Dic7—24no—
451Dic7—24no—
452Dic7—42no—
453Dic7—82no—
454Dic7—82no—
455C24—72no—
456C24—72no—
457C24—72no—
458C24—72no—
459C24—72no—
460C24—72no—
461C24—72no—
462C24—142no—
463C24—142no—
464C24—142no—
465C24—142no—
466C24C23×D711yescharacteristic
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—72no—
492C22×C4—72no—
493C22×C4—72no—
494C22×C4—72no—
495C22×C4—72no—
496C22×C4—72no—
497C22×C4—716no—
498C22×C4—716no—
499C22×C4—72no—
500C22×C4—148no—
501C22×C4—148no—
502C22×C4—148no—
503C22×C4—148no—
504C22×C4—148no—
505C22×C4—148no—
506C22×C4—148no—
507C22×C4—141no—
508C22×C4—141no—
509C22×C4—142no—
510C22×C4—141no—
511C22×C4—141no—
512C22×C4—142no—
513C22×C4—141no—
514C22×C4—141no—
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—288no—
532C22×C4—284no—
533C22×C4—288no—
534C22×C4—284no—
535C22×C4—288no—
536C22×C4—284no—
537C22×C4—288no—
538C22×C4—284no—
539C22×C4C2×C4×D712yes—
540C22×C4C2×C4×D712yes—
541C22×C4C2×C4×D712yes—
542C22×C4D4×D712yes—
543C22×C4D4×D712yes—
544C22×C4D4×D712yes—
545C22×C4Q8×D712yes—
546C4⋊C4—28no—
547C4⋊C4—44no—
548C4⋊C4—148no—
549C4⋊C4—148no—
550C4⋊C4—148no—
551C4⋊C4—284no—
552C4⋊C4—288no—
553C22⋊C4—288no—
554C22⋊C4—288no—
555C2×C7C2×#38011yescharacteristic
556C2×C7#230811yescharacteristic
557C2×C7#231011yescharacteristic
558C2×C7#231312yes—
559C2×C7#231612yes—
560C2×C7#261811yescharacteristic
561C2×C7#261812yes—
562C2×C7#261811yescharacteristic
563C2×C7#262712yes—
564C2×C7#262711yescharacteristic
565C2×C7#262711yescharacteristic
566D7—28no—
567C23—74no—
568C23—74no—
569C23—74no—
570C23—74no—
571C23—74no—
572C23—74no—
573C23—74no—
574C23—144no—
575C23—144no—
576C23—144no—
577C23—142no—
578C23—144no—
579C23—144no—
580C23—144no—
581C23—142no—
582C23—144no—
583C23—144no—
584C23—144no—
585C23—144no—
586C23—144no—
587C23—142no—
588C23—144no—
589C23—142no—
590C23C22×C4×D711yescharacteristic
591C23C2×D4×D711yescharacteristic
592C23C2×D4×D711yescharacteristic
593C23C2×D4×D711yescharacteristic
594C23#654812yes—
595C23C2×Q8×D711yescharacteristic
596C23#655112yes—
597C23D7×#4111yescharacteristic
598C23D7×#4111yescharacteristic
599C23#655312yes—
600C23#655412yes—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—74no—
631C2×C4—74no—
632C2×C4—1432no—
633C2×C4—142no—
634C2×C4—142no—
635C2×C4—144no—
636C2×C4—142no—
637C2×C4—142no—
638C2×C4—142no—
639C2×C4—144no—
640C2×C4—142no—
641C2×C4—142no—
642C2×C4—142no—
643C2×C4—142no—
644C2×C4—144no—
645C2×C4—2816no—
646C2×C4—2816no—
647C2×C4—281no—
648C2×C4—282no—
649C2×C4—281no—
650C2×C4—282no—
651C2×C4—282no—
652C2×C4—282no—
653C2×C4—282no—
654C2×C4—282no—
655C2×C4—282no—
656C2×C4—282no—
657C2×C4—282no—
658C2×C4—282no—
659C2×C4—282no—
660C2×C4—282no—
661C2×C4—282no—
662C2×C4—282no—
663C2×C4—282no—
664C2×C4D7×C22⋊C414yes—
665C2×C4D7×C4⋊C414yes—
666C7#1433911yescharacteristic, complemented, Sylow
667C22—78no—
668C22—148no—
669C22—144no—
670C22—144no—
671C22—148no—
672C22—144no—
673C22—144no—
674C22—148no—
675C22—148no—
676C22—144no—
677C22—144no—
678C22C2×D7×C22⋊C411yescharacteristic
679C22C2×D7×C4⋊C411yescharacteristic
680C22D7×#11711yescharacteristic
681C22#9023612yes—
682C22#9026312yes—
683C22#9028011yescharacteristic
684C22D7×#12111yescharacteristic
685C22D7×#12111yescharacteristic
686C22#9029612yes—
687C22#9029912yes—
688C22D7×C22⋊Q811yescharacteristic
689C22D7×C22⋊Q811yescharacteristic
690C22#9031912yes—
691C22#9032012yes—
692C22#9032912yes—
693C22#9034411yescharacteristic
694C22#9035112yes—
695C22#9036611yescharacteristic
696C22#9038012yes—
697C22#9038312yes—
698C22#9039812yes—
699C22#9041511yescharacteristic
700C22#9042012yes—
701C4—24no—
702C4—24no—
703C4—42no—
704C4—82no—
705C4—82no—
706C4—144no—
707C4—144no—
708C4—282no—
709C4—562no—
710C4—562no—
711C2—148no—
712C2D7×#38011yescharacteristic
713C2#1173231911yescharacteristic
714C2#1173274112yes—
715C2#1173364012yes—
716C2#1173405511yescharacteristic
717C2#1173456911yescharacteristic
718C2#1173470211yescharacteristic
719C2#1173486812yes—
720C2#1173540711yescharacteristic
721C2#1173540912yes—
722C2#1173580511yescharacteristic
subgroupG/H
center, FrattiniC24C23×D7
commutatorC23×C7C23×C4
FittingC7×#1441C2
socle, cosocleC24×C7C24
prime radicalC24×D7C23
hypercenter#1441D7
hypocenterC7#14339
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C24 ◁ #1441

Complements

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

NH ≅ G/Ntype
5. C7×#1441C2semidirect
6. #11729320C2semidirect
7. #11729319C2semidirect
9. #11727165C2semidirect
10. #11727164C2semidirect
11. #11727163C2semidirect
26. C2×D7×C4⋊C4C4semidirect
116. #1441D7semidirect
208. C2×C4×D7C4⋊C4semidirect
666. C7#14339semidirect

Maximal subgroups

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

subgroupindex
C22×D7×C4⋊C42
C2×#897592
C2×#894362
C2×#894392
C7×#14412
#117293202
#117293192
(C2×D7)⋊#952
#117271652
#117271642
#117271632
#143397