Finite Group Databasebeta

← #13275435

Subgroups — #13275435

Order 1792.

1998 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#386C211yesmaximal, characteristic
2C2×#89993C211yesmaximal, characteristic
3C2×#89992C211yesmaximal, characteristic
4#11729881C212yesmaximal, complemented
5#11729299C212yesmaximal, complemented
6#11729299C212yesmaximal, complemented
7#11729298C212yesmaximal, complemented
8#11727161C212yesmaximal, complemented
9#11727155C212yesmaximal, complemented
10C23×C7×D4C2211yescharacteristic
11C24×C4×C7C2211yescharacteristic
12C24×Dic7C2211yescharacteristic
13C22×C7×C22⋊C4C2212yes—
14C22×C7×C22⋊C4C2211yescharacteristic
15C22×C22⋊Dic7C2212yes—
16C22×C22⋊Dic7C2211yescharacteristic
17C22×C22⋊Dic7C2212yes—
18C22×C22⋊Dic7C2212yes—
19C22×C4⋊Dic7C2211yescharacteristic
20C22×C4×Dic7C2212yes—
21C22×C4×Dic7C2211yescharacteristic
22C7×#386C418yescomplemented
23C2×C7×#95C2212yes—
24#89993C418yescomplemented
25#89992C418yescomplemented
26C2×C7⋊#95C2212yes—
27C2×C7⋊#95C2212yes—
28C2×C7⋊#95C2212yes—
29C2×C7⋊#95C2212yes—
30C2×C7⋊#95C2212yes—
31C2×C7⋊#95C2212yes—
32C2×C7⋊#95C2212yes—
33C2×C7⋊#95C2212yes—
34#13832—71nomaximal, Sylow
35C25×C7C2311yescharacteristic
36C25×C7C2311yescharacteristic
37C22×C7×D4—41no—
38C22×C7×D4—41no—
39C22×C7×D4—41no—
40C22×C7×D4—41no—
41C22×C7×D4C2×C414yes—
42C22×C7×D4C2×C414yes—
43C22×C7×D4C2×C414yes—
44C23×C4×C7—41no—
45C23×C4×C7—41no—
46C23×C4×C7—42no—
47C23×C4×C7—42no—
48C23×C4×C7C2×C414yescomplemented
49C23×C4×C7C2312yes—
50C23×C4×C7C2312yes—
51C23×C4×C7C2311yescharacteristic
52C23×Dic7—41no—
53C23×Dic7—41no—
54C23×Dic7—42no—
55C23×Dic7—42no—
56C23×Dic7C2×C414yescomplemented
57C23×Dic7C2312yes—
58C23×Dic7C2312yes—
59C23×Dic7C2312yes—
60C23×Dic7C2312yes—
61C2×C7×C22⋊C4—42no—
62C2×C7×C22⋊C4—42no—
63C2×C7×C22⋊C4—41no—
64C2×C7×C22⋊C4—41no—
65C2×C7×C22⋊C4C2×C418yes—
66C2×C7×C22⋊C4C2×C414yescomplemented
67C2×C22⋊Dic7—42no—
68C2×C22⋊Dic7—42no—
69C2×C22⋊Dic7—41no—
70C2×C22⋊Dic7—42no—
71C2×C22⋊Dic7—42no—
72C2×C22⋊Dic7—41no—
73C2×C22⋊Dic7—42no—
74C2×C22⋊Dic7—42no—
75C2×C22⋊Dic7C2×C418yes—
76C2×C22⋊Dic7C2×C414yescomplemented
77C2×C22⋊Dic7C2×C418yescomplemented
78C2×C22⋊Dic7C2×C418yescomplemented
79C2×C4⋊Dic7—41no—
80C2×C4⋊Dic7—41no—
81C2×C4⋊Dic7C2×C414yescomplemented
82C2×C4×Dic7—41no—
83C2×C4×Dic7—41no—
84C2×C4×Dic7—42no—
85C2×C4×Dic7—42no—
86C2×C4×Dic7—42no—
87C2×C4×Dic7C2×C414yescomplemented
88C7×#95C2×C418yescomplemented
89C7⋊#95—42no—
90C7⋊#95—42no—
91C7⋊#95—42no—
92C7⋊#95—42no—
93C7⋊#95—42no—
94C7⋊#95—42no—
95C7⋊#95—42no—
96C7⋊#95C2×C418yescomplemented
97C2×#390—71no—
98C2×#386—71no—
99C2×#386D711yescharacteristic
100#1437—72no—
101#1437—72no—
102#1436—72no—
103#1434—72no—
104C22⋊#95—72no—
105C22⋊#95—72no—
106C24×C7—22no—
107C24×C7—22no—
108C24×C7—22no—
109C24×C7—22no—
110C24×C7—22no—
111C24×C7—21no—
112C24×C7—21no—
113C24×C7—22no—
114C24×C7—21no—
115C24×C7—21no—
116C24×C7—21no—
117C24×C7—21no—
118C24×C7—21no—
119C24×C7—21no—
120C24×C7—22no—
121C24×C7—22no—
122C24×C7C22×C412yes—
123C24×C7C22×C412yes—
124C24×C7C22×C412yes—
125C24×C7C22×C412yes—
126C24×C7C22×C412yes—
127C24×C7C22×C412yes—
128C24×C7C2411yescharacteristic
129C2×C7×D4—44no—
130C2×C7×D4—44no—
131C2×C7×D4—44no—
132C2×C7×D4—44no—
133C2×C7×D4—44no—
134C2×C7×D4—44no—
135C2×C7×D4C42116yescomplemented
136C22×C4×C7—21no—
137C22×C4×C7—21no—
138C22×C4×C7—21no—
139C22×C4×C7—21no—
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—48no—
153C22×C4×C7—44no—
154C22×C4×C7—44no—
155C22×C4×C7—48no—
156C22×C4×C7—44no—
157C22×C4×C7C22×C414yes—
158C22×C4×C7C22×C414yes—
159C22×C4×C7C22×C412yes—
160C22×C4×C7C22×C412yes—
161C22×C4×C7C22×C412yes—
162C22×Dic7—22no—
163C22×Dic7—22no—
164C22×Dic7—22no—
165C22×Dic7—22no—
166C22×Dic7—22no—
167C22×Dic7—22no—
168C22×Dic7—22no—
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×Dic7—22no—
186C22×Dic7—48no—
187C22×Dic7—44no—
188C22×Dic7—48no—
189C22×Dic7—44no—
190C22×Dic7—44no—
191C22×Dic7C22×C414yes—
192C22×Dic7C22×C414yes—
193C22×Dic7C22×C414yes—
194C22×Dic7C22×C414yes—
195C7×C22⋊C4—48no—
196C7×C22⋊C4—44no—
197C22⋊Dic7—48no—
198C22⋊Dic7—48no—
199C22⋊Dic7—48no—
200C22⋊Dic7—44no—
201C4⋊Dic7—44no—
202C4×Dic7—44no—
203C4×Dic7—48no—
204C23×D4C2×D711yescharacteristic
205C24×C4—71no—
206C24×C4C2×D711yescharacteristic
207C22×C4⋊C4—71no—
208C22×C22⋊C4—72no—
209C22×C22⋊C4—72no—
210C22×C22⋊C4—72no—
211C22×C22⋊C4—71no—
212C22×C22⋊C4C2×D712yes—
213C22×C22⋊C4C2×D711yescharacteristic
214C22×C42—71no—
215C22×C42—72no—
216#390—78no—
217#386—78no—
218#386Dic718yescomplemented
219C2×#95—72no—
220C2×#95—72no—
221C2×#95—72no—
222C2×#95—72no—
223C2×#95—72no—
224C2×#95—72no—
225C2×#95—72no—
226C2×#95—72no—
227C2×#95C2×D712yes—
228C23×C7—22no—
229C23×C7—24no—
230C23×C7—24no—
231C23×C7—24no—
232C23×C7—22no—
233C23×C7—24no—
234C23×C7—22no—
235C23×C7—24no—
236C23×C7—22no—
237C23×C7—24no—
238C23×C7—22no—
239C23×C7—22no—
240C23×C7—22no—
241C23×C7—22no—
242C23×C7—22no—
243C23×C7—22no—
244C23×C7—22no—
245C23×C7—22no—
246C23×C7—24no—
247C23×C7—24no—
248C23×C7—24no—
249C23×C7—24no—
250C23×C7—24no—
251C23×C7—24no—
252C23×C7—42no—
253C23×C7—41no—
254C23×C7—41no—
255C23×C7—42no—
256C23×C7—41no—
257C23×C7—42no—
258C23×C7—42no—
259C23×C7—42no—
260C23×C7—42no—
261C23×C7—41no—
262C23×C7—41no—
263C23×C7—41no—
264C23×C7—42no—
265C23×C7—42no—
266C23×C7—42no—
267C23×C7—42no—
268C23×C7—42no—
269C23×C7—42no—
270C23×C7—41no—
271C23×C7—41no—
272C23×C7C2×C4214yes—
273C23×C7C2×C4214yes—
274C23×C7C23×C411yescharacteristic
275C23×C7C23×C411yescharacteristic
276C23×C7C23×C411yescharacteristic
277C23×C7H(5,𝔽2)11yescharacteristic
278C23×C7H(5,𝔽2)11yescharacteristic
279C23×C7H(5,𝔽2)11yescharacteristic
280C23×C7H(5,𝔽2)11yescharacteristic
281C23×C7H(5,𝔽2)12yes—
282C23×C7H(5,𝔽2)12yes—
283C23×C7H(5,𝔽2)12yes—
284C23×C72−1+412yes—
285C7×D4—416no—
286C2×C4×C7—22no—
287C2×C4×C7—22no—
288C2×C4×C7—22no—
289C2×C4×C7—22no—
290C2×C4×C7—22no—
291C2×C4×C7—22no—
292C2×C4×C7—24no—
293C2×C4×C7—24no—
294C2×C4×C7—24no—
295C2×C4×C7—24no—
296C2×C4×C7—24no—
297C2×C4×C7—24no—
298C2×C4×C7—416no—
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×C7C2×C4214yes—
308C2×Dic7—24no—
309C2×Dic7—24no—
310C2×Dic7—24no—
311C2×Dic7—24no—
312C2×Dic7—24no—
313C2×Dic7—24no—
314C2×Dic7—24no—
315C2×Dic7—24no—
316C2×Dic7—24no—
317C2×Dic7—24no—
318C2×Dic7—24no—
319C2×Dic7—24no—
320C2×Dic7—416no—
321C2×Dic7—42no—
322C2×Dic7—42no—
323C2×Dic7—42no—
324C2×Dic7—42no—
325C2×Dic7—42no—
326C2×Dic7—42no—
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—
337C25C22×D711yescharacteristic
338C25C22×D711yescharacteristic
339C22×D4—41no—
340C22×D4—41no—
341C22×D4—41no—
342C22×D4—41no—
343C22×D4C4×D714yes—
344C22×D4C4×D714yes—
345C22×D4C2×Dic714yes—
346C23×C4—41no—
347C23×C4—41no—
348C23×C4—42no—
349C23×C4—42no—
350C23×C4—72no—
351C23×C4—72no—
352C23×C4—72no—
353C23×C4—72no—
354C23×C4—74no—
355C23×C4—281no—
356C23×C4—281no—
357C23×C4—282no—
358C23×C4—282no—
359C23×C4C2×Dic714yescomplemented
360C23×C4C22×D712yes—
361C23×C4C22×D712yes—
362C23×C4C22×D711yescharacteristic
363C2×C4⋊C4—74no—
364C2×C4⋊C4—281no—
365C2×C4⋊C4—281no—
366C2×C22⋊C4—42no—
367C2×C22⋊C4—42no—
368C2×C22⋊C4—41no—
369C2×C22⋊C4—41no—
370C2×C22⋊C4—78no—
371C2×C22⋊C4—74no—
372C2×C22⋊C4—78no—
373C2×C22⋊C4—78no—
374C2×C22⋊C4—281no—
375C2×C22⋊C4—282no—
376C2×C22⋊C4—282no—
377C2×C22⋊C4—281no—
378C2×C22⋊C4—282no—
379C2×C22⋊C4—282no—
380C2×C22⋊C4—282no—
381C2×C22⋊C4—282no—
382C2×C22⋊C4C2×Dic718yes—
383C2×C22⋊C4C2×Dic714yescomplemented
384C2×C42—74no—
385C2×C42—281no—
386C2×C42—281no—
387C2×C42—282no—
388C2×C42—282no—
389C2×C42—282no—
390#95—78no—
391#95—282no—
392#95—282no—
393#95—282no—
394#95—282no—
395#95—282no—
396#95—282no—
397#95—282no—
398#95C2×Dic718yescomplemented
399C22×C7—24no—
400C22×C7—24no—
401C22×C7—28no—
402C22×C7—28no—
403C22×C7—42no—
404C22×C7—42no—
405C22×C7—42no—
406C22×C7—42no—
407C22×C7—42no—
408C22×C7—42no—
409C22×C7—42no—
410C22×C7—42no—
411C22×C7—44no—
412C22×C7—44no—
413C22×C7—44no—
414C22×C7—44no—
415C22×C7—44no—
416C22×C7—44no—
417C22×C7—42no—
418C22×C7—42no—
419C22×C7—42no—
420C22×C7—42no—
421C22×C7C22×C4211yescharacteristic
422C22×C7#51811yescharacteristic
423C22×C7#51811yescharacteristic
424C22×C7#51811yescharacteristic
425C22×C7#51811yescharacteristic
426C22×C7#51811yescharacteristic
427C22×C7#51812yes—
428C22×C7#51811yescharacteristic
429C22×C7#51812yes—
430C22×C7#51812yes—
431C22×C7#52012yes—
432C22×C7#52012yes—
433C22×C7#52012yes—
434C22×C7#56011yescharacteristic
435C22×C7#56012yes—
436C22×C7#56012yes—
437C22×C7#56012yes—
438C22×C7#56011yescharacteristic
439C22×C7H(3,𝔽4)11yescharacteristic
440C22×C7#56212yes—
441C22×C7#56212yes—
442C22×C7#56212yes—
443C22×C7#56311yescharacteristic
444C4×C7—24no—
445C4×C7—44no—
446C4×C7—44no—
447Dic7—44no—
448Dic7—44no—
449Dic7—44no—
450Dic7—44no—
451C24—22no—
452C24—22no—
453C24—21no—
454C24—21no—
455C24—22no—
456C24—22no—
457C24—21no—
458C24—21no—
459C24—21no—
460C24—21no—
461C24—21no—
462C24—21no—
463C24—22no—
464C24—22no—
465C24—22no—
466C24—22no—
467C24C2×C4×D712yes—
468C24C2×C4×D712yes—
469C24C2×C4×D712yes—
470C24C2×C4×D712yes—
471C24C22×Dic712yes—
472C24C22×Dic712yes—
473C24C23×D711yescharacteristic
474C2×D4—44no—
475C2×D4—44no—
476C2×D4—44no—
477C2×D4—44no—
478C2×D4—44no—
479C2×D4—44no—
480C2×D4C4×Dic7116yescomplemented
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
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—48no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—48no—
501C22×C4—44no—
502C22×C4—74no—
503C22×C4—74no—
504C22×C4—74no—
505C22×C4—74no—
506C22×C4—142no—
507C22×C4—142no—
508C22×C4—142no—
509C22×C4—142no—
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—284no—
531C22×C4—288no—
532C22×C4—284no—
533C22×C4—288no—
534C22×C4—284no—
535C22×C4C2×C4×D712yes—
536C22×C4C2×C4×D712yes—
537C22×C4C22×Dic714yes—
538C22×C4C22×Dic714yes—
539C22×C4C22×Dic712yes—
540C4⋊C4—284no—
541C22⋊C4—48no—
542C22⋊C4—44no—
543C22⋊C4—284no—
544C22⋊C4—288no—
545C22⋊C4—288no—
546C22⋊C4—288no—
547C42—284no—
548C42—288no—
549C2×C7—44no—
550C2×C7—44no—
551C2×C7#227311yescharacteristic
552C2×C7#227512yes—
553C2×C7#237511yescharacteristic
554C2×C7#237511yescharacteristic
555C2×C7#237611yescharacteristic
556C2×C7#237611yescharacteristic
557C2×C7#237712yes—
558C2×C7#237712yes—
559C2×C7#237712yes—
560C2×C7#237911yescharacteristic
561C2×C7#238011yescharacteristic
562C23—22no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—24no—
572C23—22no—
573C23—24no—
574C23—22no—
575C23—22no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—41no—
587C23—41no—
588C23—42no—
589C23—41no—
590C23—42no—
591C23—41no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—42no—
605C23—42no—
606C23C2×C4×Dic714yes—
607C23C2×C4×Dic714yes—
608C23C22×C4×D711yescharacteristic
609C23C22×C4×D711yescharacteristic
610C23#654811yescharacteristic
611C23#654811yescharacteristic
612C23#654811yescharacteristic
613C23#654811yescharacteristic
614C23#654812yes—
615C23#654812yes—
616C23#655312yes—
617C23#655412yes—
618C23C23×Dic711yescharacteristic
619D4—416no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—416no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—144no—
642C2×C4—144no—
643C2×C4—144no—
644C2×C4—144no—
645C2×C4—144no—
646C2×C4—144no—
647C2×C4—144no—
648C2×C4—144no—
649C2×C4—144no—
650C2×C4—144no—
651C2×C4—144no—
652C2×C4—144no—
653C2×C4—2816no—
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×C4—282no—
665C2×C4—282no—
666C2×C4—282no—
667C2×C4—282no—
668C2×C4—282no—
669C2×C4—282no—
670C2×C4C2×C4×Dic714yes—
671C7#1383211yescharacteristic, complemented, Sylow
672C22—28no—
673C22—28no—
674C22—24no—
675C22—24no—
676C22—42no—
677C22—42no—
678C22—44no—
679C22—44no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—44no—
687C22—44no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—44no—
693C22—44no—
694C22#9017711yescharacteristic
695C22#9017711yescharacteristic
696C22#9017711yescharacteristic
697C22#9017711yescharacteristic
698C22#9023612yes—
699C22#9023612yes—
700C22#9023712yes—
701C22#9023712yes—
702C22#9028511yescharacteristic
703C22#9028612yes—
704C22#9028611yescharacteristic
705C22#9031112yes—
706C22#9031112yes—
707C22#9031212yes—
708C22#9031212yes—
709C22#9034211yescharacteristic
710C22#9035711yescharacteristic
711C22#9035812yes—
712C22C22×C4×Dic711yescharacteristic
713C22#9048912yes—
714C22#9048911yescharacteristic
715C22#9048911yescharacteristic
716C22#9051812yes—
717C4—24no—
718C4—44no—
719C4—44no—
720C4—284no—
721C4—284no—
722C4—284no—
723C4—284no—
724C2—44no—
725C2—44no—
726C2#1173212711yescharacteristic
727C2#1173212812yes—
728C2#1173212911yescharacteristic
729C2#1173213011yescharacteristic
730C2#1173232711yescharacteristic
731C2#1173232812yes—
732C2#1173952811yescharacteristic
733C2#1173976212yes—
734C2#1174002511yescharacteristic
735C2#1174008412yes—
736C2#1174028511yescharacteristic
subgroupG/H
center, FrattiniC24C23×D7
commutatorC22×C7C22×C42
FittingC2×C7×#386C2
socle, cosocleC24×C7C24
prime radicalC23×C7×D4C22
hypercenterC2×#386D7
hypocenterC7#13832
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
4. #11729881C2semidirect
5. #11729299C2semidirect
6. #11729299C2semidirect
7. #11729298C2semidirect
8. #11727161C2semidirect
9. #11727155C2semidirect
22. C7×#386C4semidirect
24. #89993C4semidirect
25. #89992C4semidirect
48. C23×C4×C7C2×C4semidirect
56. C23×Dic7C2×C4semidirect
66. C2×C7×C22⋊C4C2×C4semidirect
76. C2×C22⋊Dic7C2×C4semidirect
77. C2×C22⋊Dic7C2×C4semidirect
78. C2×C22⋊Dic7C2×C4semidirect
81. C2×C4⋊Dic7C2×C4semidirect
87. C2×C4×Dic7C2×C4semidirect
88. C7×#95C2×C4semidirect
96. C7⋊#95C2×C4semidirect
135. C2×C7×D4C42semidirect
218. #386Dic7semidirect
359. C23×C4C2×Dic7semidirect
383. C2×C22⋊C4C2×Dic7semidirect
398. #95C2×Dic7semidirect
480. C2×D4C4×Dic7semidirect
671. C7#13832semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#3862
C2×#899932
C2×#899922
#117298812
#117292992
#117292982
#117271612
#117271552
#138327