Finite Group Databasebeta

← #13281720

Subgroups — #13281720

Order 1792.

2118 conjugacy classes of subgroups.

The subgroup lattice has 754 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
4C2×#89982C212yesmaximal, complemented
5C2×#89714C212yesmaximal, complemented
6#11729301C212yesmaximal, complemented
7#11729301C212yesmaximal, complemented
8#11727174C212yesmaximal, complemented
9#11727160C212yesmaximal, complemented
10C23×C7×D4C2211yescharacteristic
11C24×C4×C7C2211yescharacteristic
12C24×Dic7C2211yescharacteristic
13C22×C7×C22⋊C4C2212yes—
14C22×C7×C22⋊C4C2211yescharacteristic
15C22×C22⋊Dic7C2212yes—
16C22×C22⋊Dic7C2212yes—
17C22×C22⋊Dic7C2212yes—
18C22×C22⋊Dic7C2211yescharacteristic
19C22×C4⋊Dic7C2211yescharacteristic
20C22×Dic7⋊C4C2212yes—
21C22×Dic7⋊C4C2212yes—
22C22×Dic7⋊C4C2212yes—
23C22×C4×Dic7C2211yescharacteristic
24C7×#386—24no—
25C2×C7×#95C2212yes—
26#89993—24no—
27#89992C418yescomplemented
28#89982—28no—
29C2×C7⋊#95C2212yes—
30C2×C7⋊#95C2212yes—
31C2×C7⋊#95C2212yes—
32C2×C7⋊#95C2212yes—
33C2×C7⋊#95C2212yes—
34C2×C7⋊#95C2212yes—
35#89714—28no—
36#14401—71nomaximal, Sylow
37C25×C7C2311yescharacteristic
38C25×C7C2311yescharacteristic
39C22×C7×D4—41no—
40C22×C7×D4—41no—
41C22×C7×D4—41no—
42C22×C7×D4—41no—
43C22×C7×D4C2×C414yes—
44C22×C7×D4D414yes—
45C22×C7×D4Q814yes—
46C23×C4×C7—22no—
47C23×C4×C7—24no—
48C23×C4×C7—41no—
49C23×C4×C7—41no—
50C23×C4×C7—42no—
51C23×C4×C7C2312yes—
52C23×C4×C7C2312yes—
53C23×C4×C7C2311yescharacteristic
54C23×Dic7—24no—
55C23×Dic7—24no—
56C23×Dic7—41no—
57C23×Dic7—41no—
58C23×Dic7C2×C414yescomplemented
59C23×Dic7C2312yes—
60C23×Dic7C2312yes—
61C23×Dic7C2312yes—
62C23×Dic7C2312yes—
63C2×C7×C22⋊C4—24no—
64C2×C7×C22⋊C4—22no—
65C2×C7×C22⋊C4—24no—
66C2×C7×C22⋊C4—42no—
67C2×C7×C22⋊C4—41no—
68C2×C7×C22⋊C4—41no—
69C2×C22⋊Dic7—24no—
70C2×C22⋊Dic7—24no—
71C2×C22⋊Dic7—24no—
72C2×C22⋊Dic7—24no—
73C2×C22⋊Dic7—24no—
74C2×C22⋊Dic7—24no—
75C2×C22⋊Dic7—41no—
76C2×C22⋊Dic7—41no—
77C2×C22⋊Dic7—42no—
78C2×C22⋊Dic7—42no—
79C2×C22⋊Dic7C2×C418yes—
80C2×C22⋊Dic7C2×C414yescomplemented
81C2×C4⋊Dic7—22no—
82C2×C4⋊Dic7—41no—
83C2×C4⋊Dic7—41no—
84C2×Dic7⋊C4—24no—
85C2×Dic7⋊C4—24no—
86C2×Dic7⋊C4—24no—
87C2×Dic7⋊C4—24no—
88C2×Dic7⋊C4—24no—
89C2×Dic7⋊C4—42no—
90C2×Dic7⋊C4—42no—
91C2×Dic7⋊C4—42no—
92C2×Dic7⋊C4—42no—
93C2×C4×Dic7—22no—
94C2×C4×Dic7—41no—
95C2×C4×Dic7—41no—
96C7×#95—24no—
97C7⋊#95—24no—
98C7⋊#95—24no—
99C7⋊#95—42no—
100C7⋊#95—42no—
101C7⋊#95C2×C418yescomplemented
102C7⋊#95D418yescomplemented
103C2×#390—71no—
104C2×#386—71no—
105C2×#386D711yescharacteristic
106C2×#385—72no—
107C2×#380—72no—
108#1444—72no—
109#1439—72no—
110#1439—72no—
111#1436—72no—
112C24×C7—22no—
113C24×C7—22no—
114C24×C7—22no—
115C24×C7—22no—
116C24×C7—22no—
117C24×C7—22no—
118C24×C7—21no—
119C24×C7—21no—
120C24×C7—21no—
121C24×C7—21no—
122C24×C7—21no—
123C24×C7—21no—
124C24×C7—21no—
125C24×C7—21no—
126C24×C7—22no—
127C24×C7—22no—
128C24×C7C22×C412yes—
129C24×C7C22×C412yes—
130C24×C7C2×D412yes—
131C24×C7C2×D412yes—
132C24×C7C2×Q812yes—
133C24×C7C2×Q812yes—
134C24×C7C2411yescharacteristic
135C2×C7×D4—44no—
136C2×C7×D4—44no—
137C2×C7×D4—44no—
138C2×C7×D4—44no—
139C2×C7×D4—44no—
140C2×C7×D4—44no—
141C2×C7×D4C4⋊C4116yescomplemented
142C22×C4×C7—21no—
143C22×C4×C7—21no—
144C22×C4×C7—21no—
145C22×C4×C7—21no—
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×C7—22no—
155C22×C4×C7—22no—
156C22×C4×C7—22no—
157C22×C4×C7—22no—
158C22×C4×C7—22no—
159C22×C4×C7—44no—
160C22×C4×C7—48no—
161C22×C4×C7—48no—
162C22×C4×C7—44no—
163C22×C4×C7—44no—
164C22×C4×C7C22×C412yes—
165C22×C4×C7C2×D414yes—
166C22×C4×C7C2×D412yes—
167C22×C4×C7C2×Q812yes—
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—216no—
185C22×Dic7—22no—
186C22×Dic7—22no—
187C22×Dic7—22no—
188C22×Dic7—22no—
189C22×Dic7—22no—
190C22×Dic7—22no—
191C22×Dic7—22no—
192C22×Dic7—44no—
193C22×Dic7—44no—
194C22×Dic7—48no—
195C22×Dic7—44no—
196C22×Dic7C22×C414yes—
197C22×Dic7C22×C414yes—
198C22×Dic7C2×D414yes—
199C22×Dic7C2×D414yes—
200C22×Dic7#4114yes—
201C7×C22⋊C4—48no—
202C7×C22⋊C4—44no—
203C22⋊Dic7—216no—
204C22⋊Dic7—44no—
205C22⋊Dic7—48no—
206C22⋊Dic7—48no—
207C4⋊Dic7—44no—
208Dic7⋊C4—48no—
209Dic7⋊C4—48no—
210Dic7⋊C4—48no—
211C4×Dic7—44no—
212C23×D4C2×D711yescharacteristic
213C24×C4—71no—
214C24×C4C2×D711yescharacteristic
215C22×C4⋊C4—72no—
216C22×C4⋊C4—72no—
217C22×C4⋊C4—72no—
218C22×C4⋊C4—71no—
219C22×C22⋊C4—72no—
220C22×C22⋊C4—71no—
221C22×C22⋊C4—72no—
222C22×C22⋊C4—72no—
223C22×C22⋊C4C2×D712yes—
224C22×C22⋊C4C2×D711yescharacteristic
225C22×C42—71no—
226#390—144no—
227#386—24no—
228#386—78no—
229#385—148no—
230#380—148no—
231C2×#95—72no—
232C2×#95—72no—
233C2×#95—72no—
234C2×#95—72no—
235C2×#95—72no—
236C2×#95—72no—
237C2×#95C2×D712yes—
238C23×C7—24no—
239C23×C7—24no—
240C23×C7—22no—
241C23×C7—22no—
242C23×C7—22no—
243C23×C7—22no—
244C23×C7—24no—
245C23×C7—24no—
246C23×C7—22no—
247C23×C7—22no—
248C23×C7—22no—
249C23×C7—22no—
250C23×C7—22no—
251C23×C7—22no—
252C23×C7—22no—
253C23×C7—22no—
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—42no—
263C23×C7—42no—
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×C7—42no—
273C23×C7—42no—
274C23×C7—41no—
275C23×C7—41no—
276C23×C7—41no—
277C23×C7—41no—
278C23×C7—42no—
279C23×C7—42no—
280C23×C7—41no—
281C23×C7—41no—
282C23×C7C2×C4⋊C414yes—
283C23×C7C2×C4⋊C414yes—
284C23×C7C23×C411yescharacteristic
285C23×C7C22×D412yes—
286C23×C7C22×D411yescharacteristic
287C23×C7C22×Q811yescharacteristic
288C23×C7C2×#4112yes—
289C23×C7H(5,𝔽2)11yescharacteristic
290C23×C7H(5,𝔽2)11yescharacteristic
291C23×C7H(5,𝔽2)11yescharacteristic
292C23×C7H(5,𝔽2)11yescharacteristic
293C23×C7H(5,𝔽2)12yes—
294C23×C72−1+412yes—
295C7×D4—416no—
296C2×C4×C7—22no—
297C2×C4×C7—22no—
298C2×C4×C7—22no—
299C2×C4×C7—22no—
300C2×C4×C7—22no—
301C2×C4×C7—22no—
302C2×C4×C7—24no—
303C2×C4×C7—24no—
304C2×C4×C7—24no—
305C2×C4×C7—416no—
306C2×C4×C7—42no—
307C2×C4×C7—42no—
308C2×C4×C7—42no—
309C2×C4×C7—42no—
310C2×C4×C7—42no—
311C2×C4×C7—42no—
312C2×C4×C7—42no—
313C2×C4×C7—42no—
314C2×C4×C7—42no—
315C2×C4×C7—42no—
316C2×C4×C7—42no—
317C2×C4×C7C2×C4⋊C414yes—
318C2×Dic7—24no—
319C2×Dic7—24no—
320C2×Dic7—24no—
321C2×Dic7—24no—
322C2×Dic7—24no—
323C2×Dic7—24no—
324C2×Dic7—24no—
325C2×Dic7—24no—
326C2×Dic7—24no—
327C2×Dic7—24no—
328C2×Dic7—24no—
329C2×Dic7—24no—
330C2×Dic7—416no—
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×Dic7—42no—
342C2×Dic7—42no—
343C2×Dic7—42no—
344C2×Dic7—42no—
345C2×Dic7—42no—
346C2×Dic7C4×D418yes—
347C25C22×D711yescharacteristic
348C25C22×D711yescharacteristic
349C22×D4—41no—
350C22×D4—41no—
351C22×D4—41no—
352C22×D4—41no—
353C22×D4Dic1414yes—
354C22×D4C4×D714yes—
355C22×D4C22⋊D714yes—
356C23×C4—22no—
357C23×C4—24no—
358C23×C4—42no—
359C23×C4—41no—
360C23×C4—41no—
361C23×C4—72no—
362C23×C4—72no—
363C23×C4—72no—
364C23×C4—74no—
365C23×C4—72no—
366C23×C4—144no—
367C23×C4—144no—
368C23×C4—281no—
369C23×C4—281no—
370C23×C4C22×D712yes—
371C23×C4C22×D712yes—
372C23×C4C22×D711yescharacteristic
373C2×C4⋊C4—144no—
374C2×C4⋊C4—144no—
375C2×C4⋊C4—144no—
376C2×C4⋊C4—144no—
377C2×C4⋊C4—144no—
378C2×C4⋊C4—142no—
379C2×C4⋊C4—282no—
380C2×C4⋊C4—282no—
381C2×C4⋊C4—282no—
382C2×C4⋊C4—282no—
383C2×C4⋊C4—281no—
384C2×C4⋊C4—281no—
385C2×C22⋊C4—24no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—24no—
388C2×C22⋊C4—42no—
389C2×C22⋊C4—41no—
390C2×C22⋊C4—41no—
391C2×C22⋊C4—78no—
392C2×C22⋊C4—74no—
393C2×C22⋊C4—144no—
394C2×C22⋊C4—144no—
395C2×C22⋊C4—144no—
396C2×C22⋊C4—144no—
397C2×C22⋊C4—144no—
398C2×C22⋊C4—144no—
399C2×C22⋊C4—281no—
400C2×C22⋊C4—281no—
401C2×C22⋊C4—282no—
402C2×C22⋊C4—282no—
403C2×C42—142no—
404C2×C42—281no—
405C2×C42—281no—
406#95—24no—
407#95—78no—
408#95—78no—
409#95—144no—
410#95—144no—
411#95—282no—
412#95—282no—
413C22×C7—24no—
414C22×C7—24no—
415C22×C7—28no—
416C22×C7—28no—
417C22×C7—44no—
418C22×C7—44no—
419C22×C7—42no—
420C22×C7—42no—
421C22×C7—42no—
422C22×C7—42no—
423C22×C7—42no—
424C22×C7—42no—
425C22×C7—44no—
426C22×C7—44no—
427C22×C7—42no—
428C22×C7—42no—
429C22×C7—44no—
430C22×C7—44no—
431C22×C7—42no—
432C22×C7—42no—
433C22×C7—42no—
434C22×C7—42no—
435C22×C7C22×C4⋊C411yescharacteristic
436C22×C7C2×C4×D412yes—
437C22×C7#51811yescharacteristic
438C22×C7#51811yescharacteristic
439C22×C7#52012yes—
440C22×C7#53411yescharacteristic
441C22×C7#53411yescharacteristic
442C22×C7#53512yes—
443C22×C7#53712yes—
444C22×C7#54012yes—
445C22×C7#54212yes—
446C22×C7#54311yescharacteristic
447C22×C7#54311yescharacteristic
448C22×C7D4212yes—
449C22×C7D4211yescharacteristic
450C22×C7#54612yes—
451C22×C7#54712yes—
452C22×C7D4×Q812yes—
453C22×C7#55111yescharacteristic
454C22×C7#55412yes—
455C22×C7#56011yescharacteristic
456C22×C7#56212yes—
457C22×C7#56311yescharacteristic
458C4×C7—24no—
459C4×C7—44no—
460C4×C7—82no—
461Dic7—28no—
462Dic7—44no—
463Dic7—44no—
464Dic7—82no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—21no—
469C24—21no—
470C24—22no—
471C24—21no—
472C24—21no—
473C24—21no—
474C24—21no—
475C24—21no—
476C24—21no—
477C24—22no—
478C24—22no—
479C24—22no—
480C24—22no—
481C24C2×Dic1412yes—
482C24C2×Dic1412yes—
483C24C2×C4×D712yes—
484C24C2×C4×D712yes—
485C24C2×C22⋊D712yes—
486C24C2×C22⋊D712yes—
487C24C23×D711yescharacteristic
488C2×D4—44no—
489C2×D4—44no—
490C2×D4—44no—
491C2×D4—44no—
492C2×D4—44no—
493C2×D4—44no—
494C2×D4Dic7⋊C4116yescomplemented
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—44no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—74no—
518C22×C4—74no—
519C22×C4—74no—
520C22×C4—74no—
521C22×C4—74no—
522C22×C4—1416no—
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—142no—
532C22×C4—142no—
533C22×C4—142no—
534C22×C4—142no—
535C22×C4—142no—
536C22×C4—142no—
537C22×C4—142no—
538C22×C4—142no—
539C22×C4—142no—
540C22×C4—142no—
541C22×C4—142no—
542C22×C4—142no—
543C22×C4—142no—
544C22×C4—142no—
545C22×C4—142no—
546C22×C4—284no—
547C22×C4—284no—
548C22×C4—288no—
549C22×C4—284no—
550C22×C4C2×Dic1412yes—
551C22×C4C2×C4×D712yes—
552C22×C4D4×D714yes—
553C22×C4C2×C22⋊D712yes—
554C4⋊C4—288no—
555C4⋊C4—288no—
556C4⋊C4—284no—
557C4⋊C4—288no—
558C22⋊C4—48no—
559C22⋊C4—44no—
560C22⋊C4—1416no—
561C22⋊C4—284no—
562C22⋊C4—288no—
563C22⋊C4—288no—
564C42—284no—
565C2×C7—44no—
566C2×C7—44no—
567C2×C7#231511yescharacteristic
568C2×C7#232412yes—
569C2×C7D4×C4⋊C412yes—
570C2×C7#235811yescharacteristic
571C2×C7#237611yescharacteristic
572C2×C7#266911yescharacteristic
573C2×C7#267112yes—
574C2×C7#268311yescharacteristic
575C2×C7#269212yes—
576C2×C7#271711yescharacteristic
577C2×C7#274811yescharacteristic
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—24no—
601C23—24no—
602C23—41no—
603C23—41no—
604C23—42no—
605C23—42no—
606C23—41no—
607C23—41no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—42no—
621C23—42no—
622C23C2×Dic7⋊C414yes—
623C23C2×Dic7⋊C414yes—
624C23C22×Dic1411yescharacteristic
625C23C22×C4×D711yescharacteristic
626C23C2×D4×D712yes—
627C23#654811yescharacteristic
628C23#654811yescharacteristic
629C23#654811yescharacteristic
630C23#654811yescharacteristic
631C23#654812yes—
632C23D7×#4112yes—
633C23#655412yes—
634C23C22×C22⋊D711yescharacteristic
635D4—416no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—416no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—78no—
658C2×C4—144no—
659C2×C4—144no—
660C2×C4—144no—
661C2×C4—144no—
662C2×C4—144no—
663C2×C4—144no—
664C2×C4—144no—
665C2×C4—144no—
666C2×C4—144no—
667C2×C4—144no—
668C2×C4—144no—
669C2×C4—144no—
670C2×C4—2816no—
671C2×C4—282no—
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×C4—282no—
681C2×C4—282no—
682C2×C4—282no—
683C2×C4—282no—
684C2×C4—282no—
685C2×C4—282no—
686C2×C4C2×Dic7⋊C414yes—
687C7#1440111yescharacteristic, complemented, Sylow
688C22—28no—
689C22—28no—
690C22—24no—
691C22—24no—
692C22—44no—
693C22—44no—
694C22—42no—
695C22—42no—
696C22—44no—
697C22—44no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—42no—
703C22—42no—
704C22—44no—
705C22—44no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22#9017411yescharacteristic
711C22#9017411yescharacteristic
712C22#9017711yescharacteristic
713C22#9017711yescharacteristic
714C22D4×Dic1412yes—
715C22#9023012yes—
716C22C4×D4×D712yes—
717C22#9023712yes—
718C22#9028111yescharacteristic
719C22#9028312yes—
720C22#9028611yescharacteristic
721C22#9029912yes—
722C22#9030312yes—
723C22#9030612yes—
724C22#9031212yes—
725C22#9034211yescharacteristic
726C22#9035011yescharacteristic
727C22#9035312yes—
728C22C22×Dic7⋊C411yescharacteristic
729C22D4×C22⋊D712yes—
730C22#9049511yescharacteristic
731C22#9049511yescharacteristic
732C22#9051512yes—
733C4—24no—
734C4—44no—
735C4—82no—
736C4—148no—
737C4—284no—
738C4—284no—
739C4—562no—
740C2—44no—
741C2—44no—
742C2#1173211012yes—
743C2#1173212711yescharacteristic
744C2#1173224011yescharacteristic
745C2#1173224812yes—
746C2#1173228411yescharacteristic
747C2#1173232511yescharacteristic
748C2#1173954011yescharacteristic
749C2D4×Dic7⋊C412yes—
750C2#1174003911yescharacteristic
751C2#1174016012yes—
752C2#1174033111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D7
commutatorC23×C7C23×C4
FittingC2×C7×#386C2
socle, cosocleC24×C7C24
prime radicalC23×C7×D4C22
hypercenterC2×#386D7
hypocenterC7#14401
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
4. C2×#89982C2semidirect
5. C2×#89714C2semidirect
6. #11729301C2semidirect
7. #11729301C2semidirect
8. #11727174C2semidirect
9. #11727160C2semidirect
27. #89992C4semidirect
58. C23×Dic7C2×C4semidirect
80. C2×C22⋊Dic7C2×C4semidirect
101. C7⋊#95C2×C4semidirect
102. C7⋊#95D4semidirect
141. C2×C7×D4C4⋊C4semidirect
494. C2×D4Dic7⋊C4semidirect
687. C7#14401semidirect

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
C2×#899822
C2×#897142
#117293012
#117271742
#117271602
#144017