Finite Group Databasebeta

← #13275706

Subgroups — #13275706

Order 1792.

2950 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C22⋊D7C211yesmaximal, characteristic
2C23×C4⋊Dic7C211yesmaximal, characteristic, complemented
3C2×C7×#380C211yesmaximal, characteristic, complemented
4C2×#89759C212yesmaximal, complemented
5C2×#89730C212yesmaximal
6#11729317C212yesmaximal, complemented
7#11729298C212yesmaximal, complemented
8#11727181C212yesmaximal, complemented
9#11727164C212yesmaximal, complemented
10C24×C4×C7C2211yescharacteristic
11C23×C22⋊D7C2211yescharacteristic
12C24×Dic7C2212yes—
13C23×C4×D7C2211yescharacteristic
14C22×C7×C4⋊C4C2212yes—
15C22×C7×C22⋊C4C2212yes—
16C22×C22⋊Dic7C2211yescharacteristic
17C2×C4×C22⋊D7—24no—
18C2×C4×C22⋊D7—24no—
19C2×C4×C22⋊D7C418yescomplemented
20C22×(C2×D7)⋊C4C2214yes—
21C22×(C2×D7)⋊C4C2211yescharacteristic
22C22×C4⋊Dic7—24no—
23C22×C4⋊Dic7—28no—
24C22×C4⋊Dic7C2212yes—
25C22×C4⋊Dic7C2212yes—
26C22×Dic7⋊C4C2211yescharacteristic
27C22×C4×Dic7C2211yescharacteristic
28C7×#380—24no—
29C2×C7×#95C2212yes—
30C2×C7⋊#95C2214yes—
31C2×C7⋊#95C2214yes—
32C2×C7⋊#95C2214yes—
33#89759—28no—
34#89730—28no—
35#13872—71nomaximal, Sylow
36C25×C7C2311yescharacteristic
37C24×D7C2311yescharacteristic
38C23×C4×C7—24no—
39C23×C4×C7—24no—
40C23×C4×C7C2×C414yes—
41C23×C4×C7D414yes—
42C23×C4×C7D414yes—
43C23×C4×C7C2314yes—
44C23×C4×C7C2311yescharacteristic
45C23×C4×C7C2311yescharacteristic
46C22×C22⋊D7—22no—
47C22×C22⋊D7—22no—
48C22×C22⋊D7—22no—
49C22×C22⋊D7—22no—
50C22×C22⋊D7C2×C414yes—
51C22×C22⋊D7D414yes—
52C22×C22⋊D7Q814yes—
53C23×Dic7—24no—
54C23×Dic7—28no—
55C23×Dic7—24no—
56C23×Dic7—24no—
57C23×Dic7—44no—
58C23×Dic7C2311yescharacteristic
59C23×Dic7C2311yescharacteristic
60C23×Dic7C2314yes—
61C23×Dic7C2311yescharacteristic
62C22×C4×D7—22no—
63C22×C4×D7—22no—
64C22×C4×D7—24no—
65C22×C4×D7—24no—
66C22×C4×D7C2×C414yescomplemented
67C2×C7×C4⋊C4—24no—
68C2×C7×C4⋊C4—24no—
69C2×C7×C4⋊C4—24no—
70C2×C7×C22⋊C4—24no—
71C2×C7×C22⋊C4—24no—
72C2×C7×C22⋊C4—24no—
73C2×C22⋊Dic7—22no—
74C2×C22⋊Dic7—22no—
75C2×C22⋊Dic7C2×C414yes—
76C4×C22⋊D7—232no—
77C2×(C2×D7)⋊C4—22no—
78C2×(C2×D7)⋊C4—22no—
79C2×(C2×D7)⋊C4—28no—
80C2×(C2×D7)⋊C4—28no—
81C2×(C2×D7)⋊C4—44no—
82C2×(C2×D7)⋊C4C2×C414yescomplemented
83C2×C4⋊Dic7—232no—
84C2×C4⋊Dic7—24no—
85C2×C4⋊Dic7—24no—
86C2×C4⋊Dic7—24no—
87C2×C4⋊Dic7—28no—
88C2×C4⋊Dic7D418yescomplemented
89C2×Dic7⋊C4—22no—
90C2×Dic7⋊C4—22no—
91C2×Dic7⋊C4C2×C414yescomplemented
92C2×C4×Dic7—22no—
93C2×C4×Dic7—22no—
94C2×C4×Dic7C2×C414yescomplemented
95C7×#95—24no—
96C7⋊#95—28no—
97C7⋊#95—28no—
98C7⋊#95—44no—
99C22×C4×D4—71no—
100C23×C4⋊C4—71no—
101C2×#386—72no—
102C2×#380—72no—
103C2×#380D711yescharacteristic, complemented
104#1441—72no—
105#1439—72no—
106C4⋊#95—72no—
107C22⋊#95—72no—
108C24×C7—22no—
109C24×C7—22no—
110C24×C7—22no—
111C24×C7—22no—
112C24×C7C22×C412yes—
113C24×C7C2×D412yes—
114C24×C7C2×D412yes—
115C24×C7C2×D412yes—
116C24×C7C2×Q812yes—
117C24×C7#4112yes—
118C24×C7#4112yes—
119C24×C7C2411yescharacteristic
120C23×D7—22no—
121C23×D7—21no—
122C23×D7—21no—
123C23×D7—22no—
124C23×D7—21no—
125C23×D7—21no—
126C23×D7—22no—
127C23×D7—22no—
128C23×D7C22×C412yes—
129C23×D7C2×D412yes—
130C23×D7C2×Q812yes—
131C22×C4×C7—22no—
132C22×C4×C7—22no—
133C22×C4×C7—216no—
134C22×C4×C7—28no—
135C22×C4×C7—216no—
136C22×C4×C7—28no—
137C22×C4×C7—24no—
138C22×C4×C7—24no—
139C22×C4×C7—24no—
140C22×C4×C7—24no—
141C22×C4×C7—24no—
142C22×C4×C7—24no—
143C22×C4×C7—24no—
144C22×C4×C7C22⋊C4116yescomplemented
145C22×C4×C7C22×C412yes—
146C22×C4×C7C22×C412yes—
147C22×C4×C7C2×D412yes—
148C22×C4×C7C2×D412yes—
149C22×C4×C7C2×D412yes—
150C22×C4×C7C2×D412yes—
151C22×C4×C7C2×D414yes—
152C22×C4×C7#4114yes—
153C2×C22⋊D7—28no—
154C2×C22⋊D7—28no—
155C2×C22⋊D7—28no—
156C2×C22⋊D7—28no—
157C2×C22⋊D7—28no—
158C2×C22⋊D7—28no—
159C2×C22⋊D7C4⋊C4116yescomplemented
160C22×Dic7—21no—
161C22×Dic7—21no—
162C22×Dic7—21no—
163C22×Dic7—21no—
164C22×Dic7—216no—
165C22×Dic7—22no—
166C22×Dic7—24no—
167C22×Dic7—21no—
168C22×Dic7—21no—
169C22×Dic7—21no—
170C22×Dic7—21no—
171C22×Dic7—24no—
172C22×Dic7—24no—
173C22×Dic7—22no—
174C22×Dic7—24no—
175C22×Dic7—22no—
176C22×Dic7—24no—
177C22×Dic7—24no—
178C22×Dic7—22no—
179C22×Dic7—416no—
180C22×Dic7—416no—
181C22×Dic7—48no—
182C22×Dic7—48no—
183C22×Dic7C22×C412yes—
184C22×Dic7C22×C412yes—
185C22×Dic7C22×C412yes—
186C22×Dic7C2×D418yes—
187C22×Dic7C2×D412yes—
188C22×Dic7C2×Q812yes—
189C2×C4×D7—28no—
190C2×C4×D7—216no—
191C2×C4×D7—44no—
192C2×C4×D7—48no—
193C2×C4×D7—44no—
194C7×C4⋊C4—48no—
195C7×C22⋊C4—48no—
196C22⋊Dic7—28no—
197(C2×D7)⋊C4—28no—
198(C2×D7)⋊C4—416no—
199C4⋊Dic7—216no—
200C4⋊Dic7—216no—
201Dic7⋊C4—28no—
202C4×Dic7—28no—
203C23×D4—71no—
204C24×C4—71no—
205C24×C4—72no—
206C24×C4C2×D711yescharacteristic
207C2×C4×D4—78no—
208C2×C4×D4—144no—
209C2×C4×D4—144no—
210C22×C4⋊C4—72no—
211C22×C4⋊C4—71no—
212C22×C4⋊C4—72no—
213C22×C4⋊C4—148no—
214C22×C4⋊C4—144no—
215C22×C4⋊C4C2×D712yes—
216C22×C22⋊C4—71no—
217C22×C22⋊C4—71no—
218C22×C22⋊C4—74no—
219C22×C22⋊C4C2×D712yes—
220C22×C42—71no—
221#386—148no—
222#380—24no—
223#380—148no—
224C2×#95—74no—
225C2×#95—74no—
226C2×#95—74no—
227C2×#95C2×D712yes—
228C23×C7—24no—
229C23×C7—24no—
230C23×C7—22no—
231C23×C7—24no—
232C23×C7—22no—
233C23×C7—22no—
234C23×C7—22no—
235C23×C7—24no—
236C23×C7—24no—
237C23×C7—24no—
238C23×C7—24no—
239C23×C7—24no—
240C23×C7—24no—
241C23×C7—24no—
242C23×C7—24no—
243C23×C7—24no—
244C23×C7C2×C22⋊C414yes—
245C23×C7C2×C4⋊C414yes—
246C23×C7#11714yes—
247C23×C7#12114yes—
248C23×C7#12114yes—
249C23×C7C22⋊Q814yes—
250C23×C7C22⋊Q814yes—
251C23×C7C23×C411yescharacteristic
252C23×C7C22×D411yescharacteristic
253C23×C7C22×D411yescharacteristic
254C23×C7C22×D412yes—
255C23×C7C22×D411yescharacteristic
256C23×C7C22×Q811yescharacteristic
257C23×C7C2×#4111yescharacteristic
258C23×C7C2×#4112yes—
259C23×C7C2×#4111yescharacteristic
260C23×C7H(5,𝔽2)12yes—
261C23×C72−1+412yes—
262C22×D7—22no—
263C22×D7—22no—
264C22×D7—24no—
265C22×D7—24no—
266C22×D7—22no—
267C22×D7—22no—
268C22×D7—22no—
269C22×D7—22no—
270C22×D7—24no—
271C22×D7—24no—
272C22×D7—24no—
273C22×D7—24no—
274C22×D7—41no—
275C22×D7—42no—
276C22×D7—41no—
277C22×D7—41no—
278C22×D7—41no—
279C22×D7—42no—
280C22×D7—42no—
281C22×D7—42no—
282C22×D7—42no—
283C22×D7—42no—
284C22×D7C2×C4⋊C414yescomplemented
285C2×C4×C7—24no—
286C2×C4×C7—22no—
287C2×C4×C7—24no—
288C2×C4×C7—22no—
289C2×C4×C7—232no—
290C2×C4×C7—44no—
291C2×C4×C7—44no—
292C2×C4×C7—44no—
293C2×C4×C7—44no—
294C2×C4×C7—44no—
295C2×C4×C7—44no—
296C2×C4×C7—44no—
297C2×C4×C7C2×C22⋊C414yes—
298C2×C4×C7C2×C22⋊C414yes—
299C2×C4×C7C4×D418yes—
300C2×C4×C7#12014yes—
301C2×C4×C7#12118yes—
302C2×C4×C7#12314yes—
303C22⋊D7—232no—
304C2×Dic7—22no—
305C2×Dic7—22no—
306C2×Dic7—22no—
307C2×Dic7—22no—
308C2×Dic7—22no—
309C2×Dic7—22no—
310C2×Dic7—22no—
311C2×Dic7—22no—
312C2×Dic7—24no—
313C2×Dic7—24no—
314C2×Dic7—28no—
315C2×Dic7—28no—
316C2×Dic7—28no—
317C2×Dic7—432no—
318C2×Dic7—41no—
319C2×Dic7—42no—
320C2×Dic7—44no—
321C2×Dic7—41no—
322C2×Dic7—41no—
323C2×Dic7—44no—
324C2×Dic7—41no—
325C2×Dic7—42no—
326C2×Dic7—44no—
327C2×Dic7—44no—
328C2×Dic7C2×C4⋊C414yescomplemented
329C4×D7—416no—
330C25—71no—
331C25C22×D711yescharacteristic
332C22×D4—74no—
333C22×D4—74no—
334C22×D4—74no—
335C22×D4—142no—
336C22×D4—142no—
337C22×D4—142no—
338C22×D4—142no—
339C23×C4—24no—
340C23×C4—24no—
341C23×C4—71no—
342C23×C4—71no—
343C23×C4—74no—
344C23×C4—71no—
345C23×C4—74no—
346C23×C4—148no—
347C23×C4—144no—
348C23×C4—142no—
349C23×C4—144no—
350C23×C4—144no—
351C23×C4—142no—
352C23×C4—144no—
353C23×C4—144no—
354C23×C4—284no—
355C23×C4C4×D714yes—
356C23×C4D2814yes—
357C23×C4C22⋊D714yes—
358C23×C4C22×D714yes—
359C23×C4C22×D711yescharacteristic
360C23×C4C22×D711yescharacteristic
361C4×D4—1432no—
362C2×C4⋊C4—24no—
363C2×C4⋊C4—24no—
364C2×C4⋊C4—24no—
365C2×C4⋊C4—74no—
366C2×C4⋊C4—78no—
367C2×C4⋊C4—148no—
368C2×C4⋊C4—1432no—
369C2×C4⋊C4—144no—
370C2×C4⋊C4—144no—
371C2×C4⋊C4—142no—
372C2×C4⋊C4—144no—
373C2×C4⋊C4—142no—
374C2×C22⋊C4—24no—
375C2×C22⋊C4—24no—
376C2×C22⋊C4—24no—
377C2×C22⋊C4—74no—
378C2×C22⋊C4—74no—
379C2×C22⋊C4—142no—
380C2×C22⋊C4—142no—
381C2×C22⋊C4—142no—
382C2×C22⋊C4—142no—
383C2×C22⋊C4—148no—
384C2×C22⋊C4—148no—
385C2×C22⋊C4—284no—
386C2×C42—74no—
387C2×C42—142no—
388C2×C42—142no—
389#95—24no—
390#95—148no—
391#95—148no—
392#95—284no—
393C22×C7—24no—
394C22×C7—28no—
395C22×C7—28no—
396C22×C7—24no—
397C22×C7—24no—
398C22×C7—28no—
399C22×C7—28no—
400C22×C7—24no—
401C22×C7—24no—
402C22×C7—24no—
403C22×C7#38018yescomplemented
404C22×C7C22×C22⋊C411yescharacteristic
405C22×C7C22×C4⋊C411yescharacteristic
406C22×C7C2×#11711yescharacteristic
407C22×C7C2×C4×D412yes—
408C22×C7#52012yes—
409C22×C7C2×#12011yescharacteristic
410C22×C7C2×#12111yescharacteristic
411C22×C7C2×#12111yescharacteristic
412C22×C7C2×#12112yes—
413C22×C7C2×C22⋊Q811yescharacteristic
414C22×C7C2×C22⋊Q811yescharacteristic
415C22×C7C2×#12311yescharacteristic
416C22×C7#53511yescharacteristic
417C22×C7#53611yescharacteristic
418C22×C7#53712yes—
419C22×C7D4212yes—
420C22×C7#54612yes—
421C22×C7#54712yes—
422C22×C7#54812yes—
423C22×C7D4×Q812yes—
424C22×C7#55212yes—
425C22×C7#55312yes—
426C22×C7#55412yes—
427C2×D7—28no—
428C2×D7—24no—
429C2×D7—42no—
430C2×D7—44no—
431C2×D7—42no—
432C2×D7—42no—
433C2×D7—44no—
434C2×D7—44no—
435C2×D7—42no—
436C2×D7—42no—
437C2×D7—42no—
438C4×C7—24no—
439C4×C7—84no—
440C4×C7#38618yescomplemented
441Dic7—24no—
442Dic7—42no—
443Dic7—48no—
444Dic7—42no—
445C24—22no—
446C24—22no—
447C24—22no—
448C24—22no—
449C24—72no—
450C24—72no—
451C24—72no—
452C24—141no—
453C24—142no—
454C24—142no—
455C24—141no—
456C24—141no—
457C24—142no—
458C24—142no—
459C24—141no—
460C24C2×C4×D712yes—
461C24C2×D2812yes—
462C24D4×D712yes—
463C24#115912yes—
464C24Q8×D712yes—
465C24#116112yes—
466C24C2×C22⋊D712yes—
467C24C23×D711yescharacteristic
468C2×D4—716no—
469C2×D4—148no—
470C2×D4—148no—
471C2×D4—148no—
472C2×D4—148no—
473C2×D4—148no—
474C2×D4—148no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—216no—
478C22×C4—28no—
479C22×C4—28no—
480C22×C4—216no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—72no—
489C22×C4—72no—
490C22×C4—72no—
491C22×C4—72no—
492C22×C4—72no—
493C22×C4—78no—
494C22×C4—141no—
495C22×C4—141no—
496C22×C4—141no—
497C22×C4—141no—
498C22×C4—1416no—
499C22×C4—141no—
500C22×C4—141no—
501C22×C4—144no—
502C22×C4—142no—
503C22×C4—144no—
504C22×C4—144no—
505C22×C4—142no—
506C22×C4—144no—
507C22×C4—142no—
508C22×C4—144no—
509C22×C4—144no—
510C22×C4—142no—
511C22×C4—141no—
512C22×C4—141no—
513C22×C4—1416no—
514C22×C4—148no—
515C22×C4—2816no—
516C22×C4—2816no—
517C22×C4—288no—
518C22×C4—288no—
519C22×C4—284no—
520C22×C4—284no—
521C22×C4—288no—
522C22×C4(C2×D7)⋊C4116yescomplemented
523C22×C4C2×C4×D712yes—
524C22×C4C2×C4×D712yes—
525C22×C4C2×D2812yes—
526C22×C4C2×D2812yes—
527C22×C4D4×D714yes—
528C22×C4#115914yes—
529C22×C4C2×C22⋊D712yes—
530C22×C4C2×C22⋊D712yes—
531C4⋊C4—48no—
532C4⋊C4—1416no—
533C4⋊C4—1416no—
534C4⋊C4—148no—
535C22⋊C4—48no—
536C22⋊C4—148no—
537C22⋊C4—148no—
538C22⋊C4—2816no—
539C42—148no—
540C2×C7—28no—
541C2×C7C2×#38011yescharacteristic
542C2×C7C2×#38611yescharacteristic
543C2×C7#231111yescharacteristic
544C2×C7D4×C4⋊C412yes—
545C2×C7#235212yes—
546C2×C7#240811yescharacteristic
547C2×C7#240911yescharacteristic
548C2×C7#241612yes—
549C2×C7#241712yes—
550C2×C7#248611yescharacteristic
551C2×C7#248711yescharacteristic
552D7—44no—
553C23—24no—
554C23—22no—
555C23—22no—
556C23—24no—
557C23—22no—
558C23—22no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—24no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—74no—
570C23—144no—
571C23—142no—
572C23—142no—
573C23—142no—
574C23—144no—
575C23—142no—
576C23—142no—
577C23—142no—
578C23—144no—
579C23—144no—
580C23—144no—
581C23—144no—
582C23—281no—
583C23—281no—
584C23—281no—
585C23—281no—
586C23—282no—
587C23—282no—
588C23—282no—
589C23—282no—
590C23—282no—
591C23—282no—
592C23D7×C4⋊C414yes—
593C23#645514yes—
594C23#645814yes—
595C23#646014yes—
596C23C2×(C2×D7)⋊C414yes—
597C23#650114yes—
598C23#650914yes—
599C23C22×C4×D711yescharacteristic
600C23C22×D2811yescharacteristic
601C23C2×D4×D712yes—
602C23C2×D4×D711yescharacteristic
603C23C2×#115912yes—
604C23C2×#115911yescharacteristic
605C23C2×Q8×D711yescharacteristic
606C23C2×#116111yescharacteristic
607C23#655312yes—
608C23#655412yes—
609C23C22×C22⋊D711yescharacteristic
610D4—1432no—
611C2×C4—24no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—24no—
615C2×C4—232no—
616C2×C4—44no—
617C2×C4—44no—
618C2×C4—44no—
619C2×C4—44no—
620C2×C4—44no—
621C2×C4—44no—
622C2×C4—44no—
623C2×C4—74no—
624C2×C4—142no—
625C2×C4—142no—
626C2×C4—142no—
627C2×C4—142no—
628C2×C4—142no—
629C2×C4—142no—
630C2×C4—144no—
631C2×C4—148no—
632C2×C4—144no—
633C2×C4—142no—
634C2×C4—142no—
635C2×C4—148no—
636C2×C4—148no—
637C2×C4—2832no—
638C2×C4—281no—
639C2×C4—281no—
640C2×C4—284no—
641C2×C4—281no—
642C2×C4—284no—
643C2×C4—281no—
644C2×C4—282no—
645C2×C4—282no—
646C2×C4—284no—
647C2×C4—284no—
648C2×C4—2816no—
649C2×C4(C22⋊D7)⋊C418yes—
650C2×C4#644514yes—
651C2×C4#644914yes—
652C2×C4C2×(C2×D7)⋊C414yes—
653C2×C4C2×(C2×D7)⋊C414yes—
654C2×C4#650218yes—
655C7#1387211yescharacteristic, complemented, Sylow
656C22—24no—
657C22—24no—
658C22—24no—
659C22—24no—
660C22—24no—
661C22—28no—
662C22—28no—
663C22—24no—
664C22—28no—
665C22—28no—
666C22—144no—
667C22—148no—
668C22—282no—
669C22—282no—
670C22—282no—
671C22—282no—
672C22—282no—
673C22—284no—
674C22—284no—
675C22—282no—
676C22—284no—
677C22#8975918yescomplemented
678C22C2×(C22⋊D7)⋊C412yes—
679C22C2×#644511yescharacteristic
680C22C2×#644911yescharacteristic
681C22C2×D7×C4⋊C411yescharacteristic
682C22C2×#645511yescharacteristic
683C22C2×#645811yescharacteristic
684C22C2×#646011yescharacteristic
685C22#9021412yes—
686C22#9021611yescharacteristic
687C22#9021711yescharacteristic
688C22#9028912yes—
689C22#9030012yes—
690C22#9030212yes—
691C22#9030912yes—
692C22#9032112yes—
693C22#9032312yes—
694C22#9032612yes—
695C22#9033312yes—
696C22C22×(C2×D7)⋊C411yescharacteristic
697C22C2×#650111yescharacteristic
698C22C2×#650212yes—
699C22C2×#650911yescharacteristic
700C22#9052412yes—
701C4—24no—
702C4—84no—
703C4—144no—
704C4—288no—
705C4—282no—
706C4—282no—
707C4#8973018yescomplemented
708C2—28no—
709C2—284no—
710C2#1173132812yes—
711C2#1173145512yes—
712C2#1173146111yescharacteristic
713C2#1173146211yescharacteristic
714C2#1173147211yescharacteristic
715C2#1173147311yescharacteristic
716C2C2×#8973011yescharacteristic
717C2C2×#8975911yescharacteristic
718C2#1173971511yescharacteristic
719C2#1174015012yes—
720C2#1174026012yes—
subgroupG/H
center, FrattiniC24C23×D7
commutatorC23×C7C23×C4
FittingC2×C7×#380C2
socle, cosocleC24×C7C24
prime radicalC23×C22⋊D7C22
hypercenterC2×#380D7
hypocenterC7#13872
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C24 ◁ C2×#380

Complements

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

NH ≅ G/Ntype
2. C23×C4⋊Dic7C2semidirect
3. C2×C7×#380C2semidirect
4. C2×#89759C2semidirect
6. #11729317C2semidirect
7. #11729298C2semidirect
8. #11727181C2semidirect
9. #11727164C2semidirect
19. C2×C4×C22⋊D7C4semidirect
66. C22×C4×D7C2×C4semidirect
82. C2×(C2×D7)⋊C4C2×C4semidirect
88. C2×C4⋊Dic7D4semidirect
91. C2×Dic7⋊C4C2×C4semidirect
94. C2×C4×Dic7C2×C4semidirect
103. C2×#380D7semidirect
144. C22×C4×C7C22⋊C4semidirect
159. C2×C22⋊D7C4⋊C4semidirect
284. C22×D7C2×C4⋊C4semidirect
328. C2×Dic7C2×C4⋊C4semidirect
403. C22×C7#380semidirect
440. C4×C7#386semidirect
522. C22×C4(C2×D7)⋊C4semidirect
655. C7#13872semidirect
677. C22#89759semidirect
707. C4#89730semidirect

Maximal subgroups

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

subgroupindex
C22×C4×C22⋊D72
C23×C4⋊Dic72
C2×C7×#3802
C2×#897592
C2×#897302
#117293172
#117292982
#117271812
#117271642
#138727