Finite Group Databasebeta

← #13279146

Subgroups — #13279146

Order 1792.

2422 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D4×Dic7C211yesmaximal, characteristic
2C2×C7×#394C211yesmaximal, characteristic
3C2×C4⋊C4×Dic7C211yesmaximal, characteristic, complemented
4C2×#89723C212yesmaximal, complemented
5C2×#89722C212yesmaximal, complemented
6#11729885C211yesmaximal, characteristic
7#11729319C211yesmaximal, characteristic, complemented
8#11729299C212yesmaximal, complemented
9#11729298C212yesmaximal, complemented
10#11727173C211yesmaximal, characteristic, complemented
11#11727155C211yesmaximal, characteristic, complemented
12C23×C7×D4C2211yescharacteristic
13C24×Dic7C2212yes—
14C22×C7×C4⋊C4C2211yescharacteristic
15C22×C7×C22⋊C4C2212yes—
16C22×C7×C22⋊C4C2212yes—
17C22×C22⋊Dic7C2212yes—
18C22×C22⋊Dic7C2212yes—
19C22×C22⋊Dic7C2212yes—
20C2×D4×Dic7—28no—
21C2×D4×Dic7—24no—
22C22×C4⋊Dic7C2211yescharacteristic
23C22×C4⋊Dic7C2212yes—
24C22×C4⋊Dic7C2211yescharacteristic
25C22×C4×Dic7C2211yescharacteristic
26C22×C4×Dic7C2211yescharacteristic
27C22×C4×Dic7C2211yescharacteristic
28C7×#394C418yescomplemented
29C2×C7×#95C2211yescharacteristic
30C2×C7⋊#95C2212yes—
31C2×C7⋊#95C2212yes—
32C2×C7⋊#95C2211yescharacteristic
33C2×C7⋊#95C2211yescharacteristic
34C2×C7⋊#95C2212yes—
35C2×C7⋊#95C2212yes—
36C2×C7⋊#95C2211yescharacteristic
37C2×C7⋊#95C2212yes—
38C4⋊C4×Dic7—24no—
39#89723—28no—
40#89722—28no—
41#14176—71nomaximal, Sylow
42C25×C7C2312yes—
43C22×C7×D4—24no—
44C22×C7×D4—24no—
45C22×C7×D4—22no—
46C22×C7×D4—22no—
47C22×C7×D4C2×C414yes—
48C23×C4×C7C2311yescharacteristic
49C23×C4×C7C2312yes—
50C23×C4×C7C2311yescharacteristic
51C23×C4×C7C2311yescharacteristic
52C23×Dic7—24no—
53C23×Dic7—24no—
54C23×Dic7—24no—
55C23×Dic7—24no—
56C23×Dic7—24no—
57C23×Dic7—42no—
58C23×Dic7—42no—
59C23×Dic7C2312yes—
60C23×Dic7C2311yescharacteristic
61C23×Dic7C2312yes—
62C23×Dic7C2311yescharacteristic
63C23×Dic7C2311yescharacteristic
64C23×Dic7C2311yescharacteristic
65C2×C7×C4⋊C4—22no—
66C2×C7×C4⋊C4—22no—
67C2×C7×C4⋊C4C2×C414yescomplemented
68C2×C7×C22⋊C4—24no—
69C2×C7×C22⋊C4—24no—
70C2×C7×C22⋊C4—24no—
71C2×C7×C22⋊C4—24no—
72C2×C7×C22⋊C4C2×C418yescomplemented
73C2×C7×C22⋊C4C2×C418yescomplemented
74C2×C22⋊Dic7—24no—
75C2×C22⋊Dic7—24no—
76C2×C22⋊Dic7—24no—
77C2×C22⋊Dic7—24no—
78C2×C22⋊Dic7—24no—
79C2×C22⋊Dic7—24no—
80C2×C22⋊Dic7—42no—
81C2×C22⋊Dic7—42no—
82C2×C22⋊Dic7D418yes—
83D4×Dic7—232no—
84C2×C4⋊Dic7—22no—
85C2×C4⋊Dic7—24no—
86C2×C4⋊Dic7—22no—
87C2×C4⋊Dic7—22no—
88C2×C4⋊Dic7—24no—
89C2×C4⋊Dic7—24no—
90C2×C4⋊Dic7—42no—
91C2×C4⋊Dic7D414yescomplemented
92C2×C4×Dic7—22no—
93C2×C4×Dic7—24no—
94C2×C4×Dic7—22no—
95C2×C4×Dic7—22no—
96C2×C4×Dic7—24no—
97C2×C4×Dic7—22no—
98C2×C4×Dic7D414yes—
99C7×#95C2×C414yescomplemented
100C7⋊#95—24no—
101C7⋊#95—22no—
102C7⋊#95—22no—
103C7⋊#95—24no—
104C7⋊#95—24no—
105C7⋊#95—24no—
106C7⋊#95—22no—
107C7⋊#95—42no—
108C22×C4×D4—71no—
109C2×#394D711yescharacteristic
110C2×#388—72no—
111C2×#385—72no—
112C2×C4×C4⋊C4—71no—
113#1444—71no—
114#1441—71no—
115#1438—71no—
116#1437—72no—
117#1434—71no—
118C22⋊#95—72no—
119C24×C7—22no—
120C24×C7—22no—
121C24×C7—22no—
122C24×C7—22no—
123C24×C7—22no—
124C24×C7—22no—
125C24×C7—22no—
126C24×C7—22no—
127C24×C7—22no—
128C24×C7—22no—
129C24×C7—22no—
130C24×C7—22no—
131C24×C7C22×C414yes—
132C24×C7C2×D414yes—
133C24×C7#4114yes—
134C24×C7C2411yescharacteristic
135C2×C7×D4—28no—
136C2×C7×D4—28no—
137C2×C7×D4—216no—
138C2×C7×D4—216no—
139C2×C7×D4—28no—
140C22×C4×C7—21no—
141C22×C4×C7—22no—
142C22×C4×C7—21no—
143C22×C4×C7—21no—
144C22×C4×C7—21no—
145C22×C4×C7—22no—
146C22×C4×C7—22no—
147C22×C4×C7—21no—
148C22×C4×C7—22no—
149C22×C4×C7—22no—
150C22×C4×C7—22no—
151C22×C4×C7—22no—
152C22×C4×C7—22no—
153C22×C4×C7—21no—
154C22×C4×C7—22no—
155C22×C4×C7—22no—
156C22×C4×C7C22×C414yes—
157C22×C4×C7C22×C412yes—
158C22×C4×C7C22×C412yes—
159C22×C4×C7C22×C412yes—
160C22×C4×C7C2×D412yes—
161C22×C4×C7C2×D412yes—
162C22×C4×C7#4112yes—
163C22×C4×C7#4112yes—
164C22×Dic7—22no—
165C22×Dic7—21no—
166C22×Dic7—21no—
167C22×Dic7—22no—
168C22×Dic7—22no—
169C22×Dic7—216no—
170C22×Dic7—21no—
171C22×Dic7—21no—
172C22×Dic7—22no—
173C22×Dic7—22no—
174C22×Dic7—22no—
175C22×Dic7—22no—
176C22×Dic7—21no—
177C22×Dic7—21no—
178C22×Dic7—22no—
179C22×Dic7—22no—
180C22×Dic7—22no—
181C22×Dic7—22no—
182C22×Dic7—22no—
183C22×Dic7—22no—
184C22×Dic7—22no—
185C22×Dic7—22no—
186C22×Dic7—22no—
187C22×Dic7—22no—
188C22×Dic7—22no—
189C22×Dic7—22no—
190C22×Dic7—22no—
191C22×Dic7—48no—
192C22×Dic7—48no—
193C22×Dic7—48no—
194C22×Dic7—48no—
195C22×Dic7—48no—
196C22×Dic7—48no—
197C22×Dic7C2×D414yes—
198C22×Dic7C2×D412yes—
199C22×Dic7C2×D414yes—
200C22×Dic7C2×D412yes—
201C22×Dic7C2×D412yes—
202C22×Dic7C2×D412yes—
203C22×Dic7#4112yes—
204C22×Dic7#4112yes—
205C7×C4⋊C4—28no—
206C7×C22⋊C4—216no—
207C7×C22⋊C4—216no—
208C22⋊Dic7—216no—
209C22⋊Dic7—48no—
210C22⋊Dic7—48no—
211C4⋊Dic7—28no—
212C4⋊Dic7—28no—
213C4⋊Dic7—48no—
214C4×Dic7—28no—
215C4×Dic7—28no—
216C4×Dic7—44no—
217C23×D4C2×D711yescharacteristic
218C24×C4—72no—
219C2×C4×D4—144no—
220C2×C4×D4—148no—
221C22×C4⋊C4—71no—
222C22×C4⋊C4—71no—
223C22×C4⋊C4—72no—
224C22×C4⋊C4C2×D711yescharacteristic
225C22×C22⋊C4—72no—
226C22×C22⋊C4—72no—
227C22×C22⋊C4—72no—
228C22×C22⋊C4C2×D712yes—
229C22×C22⋊C4C2×D712yes—
230C22×C42—71no—
231C22×C42—71no—
232C22×C42—71no—
233#394Dic718yescomplemented
234#388—148no—
235#385—148no—
236C4×C4⋊C4—144no—
237C2×#95—71no—
238C2×#95—72no—
239C2×#95—72no—
240C2×#95—72no—
241C2×#95—71no—
242C2×#95—72no—
243C2×#95—71no—
244C2×#95—72no—
245C2×#95C2×D711yescharacteristic
246C23×C7—24no—
247C23×C7—24no—
248C23×C7—24no—
249C23×C7—24no—
250C23×C7—24no—
251C23×C7—24no—
252C23×C7—24no—
253C23×C7—24no—
254C23×C7—24no—
255C23×C7—24no—
256C23×C7—24no—
257C23×C7—24no—
258C23×C7—24no—
259C23×C7—24no—
260C23×C7—24no—
261C23×C7—24no—
262C23×C7—24no—
263C23×C7—24no—
264C23×C7—42no—
265C23×C7—42no—
266C23×C7—42no—
267C23×C7—42no—
268C23×C7—42no—
269C23×C7—42no—
270C23×C7—42no—
271C23×C7—42no—
272C23×C7—42no—
273C23×C7—42no—
274C23×C7—42no—
275C23×C7—42no—
276C23×C7—42no—
277C23×C7—42no—
278C23×C7—42no—
279C23×C7—42no—
280C23×C7C4×D418yes—
281C23×C7C23×C411yescharacteristic
282C23×C7C22×D411yescharacteristic
283C23×C7C22×D412yes—
284C23×C7C22×D411yescharacteristic
285C23×C7C2×#4111yescharacteristic
286C23×C7C2×#4112yes—
287C23×C7C2×#4111yescharacteristic
288C23×C7C2×#4111yescharacteristic
289C23×C7C2×#4111yescharacteristic
290C23×C7H(5,𝔽2)12yes—
291C23×C72−1+412yes—
292C7×D4—232no—
293C2×C4×C7—22no—
294C2×C4×C7—24no—
295C2×C4×C7—22no—
296C2×C4×C7—22no—
297C2×C4×C7—22no—
298C2×C4×C7—22no—
299C2×C4×C7—22no—
300C2×C4×C7—24no—
301C2×C4×C7—22no—
302C2×C4×C7—22no—
303C2×C4×C7—24no—
304C2×C4×C7—24no—
305C2×C4×C7—24no—
306C2×C4×C7—22no—
307C2×C4×C7—24no—
308C2×C4×C7—41no—
309C2×C4×C7—41no—
310C2×C4×C7—42no—
311C2×C4×C7—42no—
312C2×C4×C7—42no—
313C2×C4×C7—42no—
314C2×C4×C7—42no—
315C2×C4×C7C4×D414yes—
316C2×C4×C7C4×D414yescomplemented
317C2×Dic7—22no—
318C2×Dic7—22no—
319C2×Dic7—22no—
320C2×Dic7—22no—
321C2×Dic7—24no—
322C2×Dic7—24no—
323C2×Dic7—24no—
324C2×Dic7—24no—
325C2×Dic7—24no—
326C2×Dic7—22no—
327C2×Dic7—22no—
328C2×Dic7—24no—
329C2×Dic7—24no—
330C2×Dic7—24no—
331C2×Dic7—24no—
332C2×Dic7—432no—
333C2×Dic7—41no—
334C2×Dic7—42no—
335C2×Dic7—41no—
336C2×Dic7—41no—
337C2×Dic7—41no—
338C2×Dic7—42no—
339C2×Dic7—42no—
340C2×Dic7—42no—
341C2×Dic7—42no—
342C2×Dic7—42no—
343C2×Dic7—42no—
344C2×Dic7—42no—
345C2×Dic7—42no—
346C2×Dic7—42no—
347C2×Dic7—42no—
348C2×Dic7—42no—
349C2×Dic7—42no—
350C2×Dic7#12014yes—
351C2×Dic7#12114yes—
352C25C22×D712yes—
353C22×D4—24no—
354C22×D4—24no—
355C22×D4—22no—
356C22×D4—22no—
357C22×D4C2×Dic714yes—
358C23×C4—71no—
359C23×C4—71no—
360C23×C4—71no—
361C23×C4—71no—
362C23×C4—72no—
363C23×C4—72no—
364C23×C4—144no—
365C23×C4—144no—
366C23×C4—144no—
367C23×C4—144no—
368C23×C4—144no—
369C23×C4—282no—
370C23×C4—282no—
371C23×C4C22×D712yes—
372C23×C4C22×D711yescharacteristic
373C23×C4C22×D711yescharacteristic
374C23×C4C22×D711yescharacteristic
375C4×D4—1432no—
376C2×C4⋊C4—22no—
377C2×C4⋊C4—22no—
378C2×C4⋊C4—74no—
379C2×C4⋊C4—144no—
380C2×C4⋊C4—142no—
381C2×C4⋊C4—142no—
382C2×C4⋊C4—142no—
383C2×C4⋊C4—144no—
384C2×C4⋊C4—144no—
385C2×C4⋊C4—282no—
386C2×C4⋊C4C2×Dic714yescomplemented
387C2×C22⋊C4—24no—
388C2×C22⋊C4—24no—
389C2×C22⋊C4—24no—
390C2×C22⋊C4—24no—
391C2×C22⋊C4—78no—
392C2×C22⋊C4—144no—
393C2×C22⋊C4—144no—
394C2×C22⋊C4—144no—
395C2×C22⋊C4—144no—
396C2×C22⋊C4—144no—
397C2×C22⋊C4—144no—
398C2×C22⋊C4—282no—
399C2×C22⋊C4—282no—
400C2×C22⋊C4C2×Dic718yescomplemented
401C2×C22⋊C4C2×Dic718yescomplemented
402C2×C42—74no—
403C2×C42—144no—
404C2×C42—142no—
405C2×C42—142no—
406C2×C42—142no—
407C2×C42—142no—
408C2×C42—144no—
409#95—142no—
410#95—144no—
411#95—144no—
412#95—144no—
413#95—142no—
414#95—144no—
415#95—142no—
416#95—282no—
417#95C2×Dic714yescomplemented
418C22×C7—28no—
419C22×C7—28no—
420C22×C7—28no—
421C22×C7—44no—
422C22×C7—44no—
423C22×C7—44no—
424C22×C7—44no—
425C22×C7—44no—
426C22×C7—44no—
427C22×C7—44no—
428C22×C7—44no—
429C22×C7—44no—
430C22×C7—44no—
431C22×C7—44no—
432C22×C7—44no—
433C22×C7C2×C4×D411yescharacteristic
434C22×C7C2×C4×D412yes—
435C22×C7C2×C4×D411yescharacteristic
436C22×C7C4×#4111yescharacteristic
437C22×C7#52012yes—
438C22×C7C2×#12011yescharacteristic
439C22×C7C2×#12111yescharacteristic
440C22×C7#52511yescharacteristic
441C22×C7#52512yes—
442C22×C7#52511yescharacteristic
443C22×C7#52911yescharacteristic
444C22×C7#53211yescharacteristic
445C22×C7#53511yescharacteristic
446C22×C7#53611yescharacteristic
447C22×C7#54212yes—
448C22×C7D4212yes—
449C22×C7#54612yes—
450C22×C7#54712yes—
451C22×C7#54712yes—
452C22×C7#54812yes—
453C22×C7#55112yes—
454C22×C7#55212yes—
455C22×C7#55312yes—
456C4×C7—24no—
457C4×C7—24no—
458C4×C7—44no—
459C4×C7—42no—
460Dic7—24no—
461Dic7—24no—
462Dic7—42no—
463Dic7—42no—
464Dic7—44no—
465Dic7—82no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—22no—
470C24—22no—
471C24—22no—
472C24—22no—
473C24—22no—
474C24—22no—
475C24—22no—
476C24—22no—
477C24—22no—
478C24D4×D714yes—
479C24#115914yes—
480C24C22×Dic714yes—
481C24C23×D711yescharacteristic
482C2×D4—28no—
483C2×D4—28no—
484C2×D4—216no—
485C2×D4—216no—
486C2×D4—28no—
487C22×C4—21no—
488C22×C4—22no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—21no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—72no—
504C22×C4—72no—
505C22×C4—74no—
506C22×C4—72no—
507C22×C4—72no—
508C22×C4—74no—
509C22×C4—72no—
510C22×C4—72no—
511C22×C4—142no—
512C22×C4—141no—
513C22×C4—141no—
514C22×C4—142no—
515C22×C4—142no—
516C22×C4—1416no—
517C22×C4—141no—
518C22×C4—141no—
519C22×C4—142no—
520C22×C4—142no—
521C22×C4—142no—
522C22×C4—142no—
523C22×C4—141no—
524C22×C4—142no—
525C22×C4—141no—
526C22×C4—142no—
527C22×C4—142no—
528C22×C4—142no—
529C22×C4—142no—
530C22×C4—142no—
531C22×C4—142no—
532C22×C4—142no—
533C22×C4—142no—
534C22×C4—142no—
535C22×C4—142no—
536C22×C4—142no—
537C22×C4—142no—
538C22×C4—288no—
539C22×C4—288no—
540C22×C4—288no—
541C22×C4—288no—
542C22×C4—288no—
543C22×C4—288no—
544C22×C4D4×D712yes—
545C22×C4D4×D712yes—
546C22×C4#115912yes—
547C22×C4#115912yes—
548C22×C4C22×Dic714yes—
549C22×C4C22×Dic712yes—
550C22×C4C22×Dic712yes—
551C22×C4C22×Dic712yes—
552C4⋊C4—28no—
553C4⋊C4—148no—
554C4⋊C4—148no—
555C4⋊C4—288no—
556C22⋊C4—216no—
557C22⋊C4—216no—
558C22⋊C4—1416no—
559C22⋊C4—288no—
560C22⋊C4—288no—
561C42—148no—
562C42—148no—
563C42—284no—
564C2×C7—48no—
565C2×C7C4×#12011yescharacteristic
566C2×C7C4×#12111yescharacteristic
567C2×C7#232611yescharacteristic
568C2×C7#235912yes—
569C2×C7#236112yes—
570C2×C7#240611yescharacteristic
571C2×C7#240811yescharacteristic
572C2×C7#246112yes—
573C2×C7#246812yes—
574C2×C7#253611yescharacteristic
575C2×C7#259811yescharacteristic
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23D4×Dic718yes—
611C23C2×D4×D711yescharacteristic
612C23C2×D4×D712yes—
613C23C2×D4×D711yescharacteristic
614C23C2×#115911yescharacteristic
615C23C2×#115912yes—
616C23C2×#115911yescharacteristic
617C23D7×#4111yescharacteristic
618C23D7×#4111yescharacteristic
619C23#655312yes—
620C23#655412yes—
621C23C23×Dic711yescharacteristic
622D4—232no—
623C2×C4—22no—
624C2×C4—24no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—24no—
638C2×C4—42no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—74no—
646C2×C4—74no—
647C2×C4—142no—
648C2×C4—142no—
649C2×C4—144no—
650C2×C4—144no—
651C2×C4—144no—
652C2×C4—144no—
653C2×C4—142no—
654C2×C4—142no—
655C2×C4—144no—
656C2×C4—142no—
657C2×C4—142no—
658C2×C4—144no—
659C2×C4—144no—
660C2×C4—144no—
661C2×C4—144no—
662C2×C4—2832no—
663C2×C4—281no—
664C2×C4—281no—
665C2×C4—282no—
666C2×C4—282no—
667C2×C4—282no—
668C2×C4—282no—
669C2×C4—282no—
670C2×C4—281no—
671C2×C4—281no—
672C2×C4—282no—
673C2×C4—282no—
674C2×C4—282no—
675C2×C4—282no—
676C2×C4—282no—
677C2×C4—282no—
678C2×C4—282no—
679C2×C4—282no—
680C2×C4D4×Dic714yes—
681C2×C4D4×Dic714yescomplemented
682C7#1417611yescharacteristic, complemented, Sylow
683C22—28no—
684C22—28no—
685C22—28no—
686C22—44no—
687C22—44no—
688C22—44no—
689C22—44no—
690C22—44no—
691C22—44no—
692C22—44no—
693C22—44no—
694C22—44no—
695C22—44no—
696C22—44no—
697C22—44no—
698C22#9027712yes—
699C22#9027711yescharacteristic
700C22D7×#12011yescharacteristic
701C22#9028711yescharacteristic
702C22#9028912yes—
703C22#9029111yescharacteristic
704C22D7×#12111yescharacteristic
705C22#9029711yescharacteristic
706C22#9030012yes—
707C22#9030212yes—
708C22#9030912yes—
709C22#9034112yes—
710C22#9034512yes—
711C22#9034612yes—
712C22#9034912yes—
713C22#9036511yescharacteristic
714C22#9036611yescharacteristic
715C22#9037312yes—
716C22C2×D4×Dic712yes—
717C22C2×D4×Dic711yescharacteristic
718C22C2×D4×Dic711yescharacteristic
719C22#41×Dic711yescharacteristic
720C22#9051812yes—
721C4—24no—
722C4—24no—
723C4—42no—
724C4—44no—
725C4—144no—
726C4—144no—
727C4—284no—
728C4—282no—
729C4—282no—
730C4—562no—
731C2—48no—
732C2#1173434011yescharacteristic
733C2#1173436012yes—
734C2#1173436712yes—
735C2#1173438811yescharacteristic
736C2#1173440711yescharacteristic
737C2#1173455211yescharacteristic
738C2Dic7×#12011yescharacteristic
739C2Dic7×#12111yescharacteristic
740C2#1174008112yes—
741C2#1174028312yes—
742C2#1174039811yescharacteristic
subgroupG/H
center, FrattiniC24C23×D7
commutatorC23×C7C23×C4
FittingC2×C7×#394C2
socle, cosocleC24×C7C24
prime radicalC23×C7×D4C22
hypercenterC2×#394D7
hypocenterC7#14176
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C24 ◁ C2×#394

Complements

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

NH ≅ G/Ntype
3. C2×C4⋊C4×Dic7C2semidirect
4. C2×#89723C2semidirect
5. C2×#89722C2semidirect
7. #11729319C2semidirect
8. #11729299C2semidirect
9. #11729298C2semidirect
10. #11727173C2semidirect
11. #11727155C2semidirect
28. C7×#394C4semidirect
67. C2×C7×C4⋊C4C2×C4semidirect
72. C2×C7×C22⋊C4C2×C4semidirect
73. C2×C7×C22⋊C4C2×C4semidirect
91. C2×C4⋊Dic7D4semidirect
99. C7×#95C2×C4semidirect
233. #394Dic7semidirect
316. C2×C4×C7C4×D4semidirect
386. C2×C4⋊C4C2×Dic7semidirect
400. C2×C22⋊C4C2×Dic7semidirect
401. C2×C22⋊C4C2×Dic7semidirect
417. #95C2×Dic7semidirect
681. C2×C4D4×Dic7semidirect
682. C7#14176semidirect

Maximal subgroups

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

subgroupindex
C22×D4×Dic72
C2×C7×#3942
C2×C4⋊C4×Dic72
C2×#897232
C2×#897222
#117298852
#117293192
#117292992
#117292982
#117271732
#117271552
#141767