Finite Group Databasebeta

← #13275399

Subgroups — #13275399

Order 1792.

2390 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×C4×C22⋊Dic7C212yesmaximal, complemented
5C2×C22⋊C4×Dic7C212yesmaximal, complemented
6#11729299C212yesmaximal, complemented
7#11729299C212yesmaximal, complemented
8#11727161C212yesmaximal, complemented
9Dic7×#95C212yesmaximal, 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×C4×Dic7C2212yes—
21C22×C4×Dic7C2212yes—
22C22×C4×Dic7C2212yes—
23C22×C4×Dic7C2211yescharacteristic
24C7×#386C418yescomplemented
25C2×C7×#95C2212yes—
26#89993C418yescomplemented
27#89992C418yescomplemented
28C4×C22⋊Dic7—28no—
29C2×C7⋊#95C2212yes—
30C2×C7⋊#95C2212yes—
31C2×C7⋊#95C2212yes—
32C2×C7⋊#95C2212yes—
33C2×C7⋊#95C2212yes—
34C2×C7⋊#95C2212yes—
35C22⋊C4×Dic7—28no—
36#13824—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×D4C2×C414yes—
45C22×C7×D4C2×C414yes—
46C23×C4×C7—24no—
47C23×C4×C7—24no—
48C23×C4×C7—41no—
49C23×C4×C7—41no—
50C23×C4×C7C2×C414yescomplemented
51C23×C4×C7C2312yes—
52C23×C4×C7C2311yescharacteristic
53C23×C4×C7C2312yes—
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—24no—
65C2×C7×C22⋊C4—41no—
66C2×C7×C22⋊C4—41no—
67C2×C7×C22⋊C4C2×C418yes—
68C2×C7×C22⋊C4C2×C414yescomplemented
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⋊Dic7C2×C418yes—
78C2×C22⋊Dic7C2×C418yescomplemented
79C2×C22⋊Dic7C2×C418yescomplemented
80C2×C22⋊Dic7C2×C414yescomplemented
81C2×C4⋊Dic7—41no—
82C2×C4⋊Dic7—41no—
83C2×C4⋊Dic7C2×C414yescomplemented
84C2×C4×Dic7—24no—
85C2×C4×Dic7—24no—
86C2×C4×Dic7—24no—
87C2×C4×Dic7—24no—
88C2×C4×Dic7—24no—
89C2×C4×Dic7—24no—
90C2×C4×Dic7—41no—
91C2×C4×Dic7—41no—
92C2×C4×Dic7—42no—
93C2×C4×Dic7—42no—
94C2×C4×Dic7—42no—
95C2×C4×Dic7C2×C414yescomplemented
96C7×#95C2×C418yescomplemented
97C7⋊#95—24no—
98C7⋊#95—24no—
99C7⋊#95—24no—
100C7⋊#95—42no—
101C7⋊#95C2×C418yescomplemented
102C7⋊#95D418yescomplemented
103C2×#390—71no—
104C2×#386—71no—
105C2×#386D711yescharacteristic
106C2×C4×C22⋊C4—72no—
107C2×C4×C22⋊C4—72no—
108#1437—72no—
109#1437—72no—
110#1436—72no—
111C4×#95—72no—
112C24×C7—22no—
113C24×C7—22no—
114C24×C7—22no—
115C24×C7—22no—
116C24×C7—22no—
117C24×C7—22no—
118C24×C7—22no—
119C24×C7—22no—
120C24×C7—21no—
121C24×C7—21no—
122C24×C7—21no—
123C24×C7—21no—
124C24×C7—21no—
125C24×C7—21no—
126C24×C7—21no—
127C24×C7—21no—
128C24×C7C22×C412yes—
129C24×C7C22×C412yes—
130C24×C7C22×C412yes—
131C24×C7C22×C412yes—
132C24×C7C22×C412yes—
133C24×C7C22×C412yes—
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×D4C42116yescomplemented
142C22×C4×C7—22no—
143C22×C4×C7—22no—
144C22×C4×C7—22no—
145C22×C4×C7—22no—
146C22×C4×C7—21no—
147C22×C4×C7—21no—
148C22×C4×C7—21no—
149C22×C4×C7—21no—
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—216no—
157C22×C4×C7—44no—
158C22×C4×C7—44no—
159C22×C4×C7—48no—
160C22×C4×C7—44no—
161C22×C4×C7C22×C414yes—
162C22×C4×C7C22×C412yes—
163C22×C4×C7C22×C412yes—
164C22×C4×C7C22×C412yes—
165C22×C4×C7C22×C414yes—
166C22×C4×C7C2×D414yes—
167C22×C4×C7#4114yes—
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—22no—
187C22×Dic7—22no—
188C22×Dic7—216no—
189C22×Dic7—44no—
190C22×Dic7—44no—
191C22×Dic7—48no—
192C22×Dic7—44no—
193C22×Dic7C22×C414yes—
194C22×Dic7C22×C414yes—
195C22×Dic7C22×C414yes—
196C22×Dic7C22×C414yes—
197C22×Dic7C2×D414yes—
198C22×Dic7C2×D414yes—
199C22×Dic7#4114yes—
200C22×Dic7#4114yes—
201C7×C22⋊C4—216no—
202C7×C22⋊C4—44no—
203C22⋊Dic7—216no—
204C22⋊Dic7—216no—
205C22⋊Dic7—216no—
206C22⋊Dic7—44no—
207C4⋊Dic7—44no—
208C4×Dic7—44no—
209C4×Dic7—48no—
210C4×Dic7—48no—
211C4×Dic7—48no—
212C23×D4C2×D711yescharacteristic
213C24×C4—71no—
214C24×C4C2×D711yescharacteristic
215C22×C4⋊C4—71no—
216C22×C22⋊C4—72no—
217C22×C22⋊C4—72no—
218C22×C22⋊C4—72no—
219C22×C22⋊C4—71no—
220C22×C22⋊C4C2×D712yes—
221C22×C22⋊C4C2×D711yescharacteristic
222C22×C42—71no—
223C22×C42—72no—
224C22×C42—72no—
225C22×C42—72no—
226#390—78no—
227#386—78no—
228#386Dic718yescomplemented
229C4×C22⋊C4—148no—
230C4×C22⋊C4—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—24no—
241C23×C7—24no—
242C23×C7—24no—
243C23×C7—24no—
244C23×C7—24no—
245C23×C7—24no—
246C23×C7—24no—
247C23×C7—24no—
248C23×C7—24no—
249C23×C7—24no—
250C23×C7—22no—
251C23×C7—22no—
252C23×C7—22no—
253C23×C7—22no—
254C23×C7—22no—
255C23×C7—22no—
256C23×C7—22no—
257C23×C7—22no—
258C23×C7—22no—
259C23×C7—22no—
260C23×C7—22no—
261C23×C7—22no—
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×C7—41no—
273C23×C7—41no—
274C23×C7—42no—
275C23×C7—42no—
276C23×C7—42no—
277C23×C7—42no—
278C23×C7—42no—
279C23×C7—42no—
280C23×C7—41no—
281C23×C7—41no—
282C23×C7C2×C4214yes—
283C23×C7C2×C4214yes—
284C23×C7C23×C411yescharacteristic
285C23×C7C23×C411yescharacteristic
286C23×C7C23×C411yescharacteristic
287C23×C7C22×D412yes—
288C23×C7C2×#4112yes—
289C23×C7C2×#4112yes—
290C23×C7C2×#4112yes—
291C23×C7H(5,𝔽2)11yescharacteristic
292C23×C7H(5,𝔽2)11yescharacteristic
293C23×C7H(5,𝔽2)11yescharacteristic
294C23×C7H(5,𝔽2)11yescharacteristic
295C7×D4—416no—
296C2×C4×C7—24no—
297C2×C4×C7—22no—
298C2×C4×C7—22no—
299C2×C4×C7—24no—
300C2×C4×C7—22no—
301C2×C4×C7—22no—
302C2×C4×C7—22no—
303C2×C4×C7—22no—
304C2×C4×C7—24no—
305C2×C4×C7—24no—
306C2×C4×C7—24no—
307C2×C4×C7—24no—
308C2×C4×C7—24no—
309C2×C4×C7—24no—
310C2×C4×C7—24no—
311C2×C4×C7—416no—
312C2×C4×C7—42no—
313C2×C4×C7—42no—
314C2×C4×C7—42no—
315C2×C4×C7—42no—
316C2×C4×C7C2×C4214yes—
317C2×C4×C7C4×D418yes—
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—24no—
331C2×Dic7—24no—
332C2×Dic7—24no—
333C2×Dic7—24no—
334C2×Dic7—24no—
335C2×Dic7—24no—
336C2×Dic7—416no—
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×Dic7C4×D418yes—
346C2×Dic7C4×D418yes—
347C25C22×D711yescharacteristic
348C25C22×D711yescharacteristic
349C22×D4—41no—
350C22×D4—41no—
351C22×D4—41no—
352C22×D4—41no—
353C22×D4C4×D714yes—
354C22×D4C4×D714yes—
355C22×D4C2×Dic714yes—
356C23×C4—24no—
357C23×C4—24no—
358C23×C4—41no—
359C23×C4—41no—
360C23×C4—72no—
361C23×C4—72no—
362C23×C4—72no—
363C23×C4—72no—
364C23×C4—74no—
365C23×C4—144no—
366C23×C4—144no—
367C23×C4—281no—
368C23×C4—281no—
369C23×C4C2×Dic714yescomplemented
370C23×C4C22×D712yes—
371C23×C4C22×D711yescharacteristic
372C23×C4C22×D712yes—
373C2×C4⋊C4—74no—
374C2×C4⋊C4—281no—
375C2×C4⋊C4—281no—
376C2×C22⋊C4—24no—
377C2×C22⋊C4—24no—
378C2×C22⋊C4—41no—
379C2×C22⋊C4—41no—
380C2×C22⋊C4—78no—
381C2×C22⋊C4—78no—
382C2×C22⋊C4—78no—
383C2×C22⋊C4—74no—
384C2×C22⋊C4—144no—
385C2×C22⋊C4—144no—
386C2×C22⋊C4—144no—
387C2×C22⋊C4—144no—
388C2×C22⋊C4—144no—
389C2×C22⋊C4—144no—
390C2×C22⋊C4—281no—
391C2×C22⋊C4—281no—
392C2×C22⋊C4C2×Dic718yes—
393C2×C22⋊C4C2×Dic714yescomplemented
394C2×C42—74no—
395C2×C42—144no—
396C2×C42—144no—
397C2×C42—144no—
398C2×C42—144no—
399C2×C42—144no—
400C2×C42—144no—
401C2×C42—281no—
402C2×C42—281no—
403C2×C42—282no—
404C2×C42—282no—
405C2×C42—282no—
406#95—78no—
407#95—78no—
408#95—144no—
409#95—144no—
410#95—144no—
411#95—282no—
412#95C2×Dic718yescomplemented
413C22×C7—28no—
414C22×C7—28no—
415C22×C7—24no—
416C22×C7—24no—
417C22×C7—42no—
418C22×C7—42no—
419C22×C7—42no—
420C22×C7—42no—
421C22×C7—44no—
422C22×C7—44no—
423C22×C7—44no—
424C22×C7—44no—
425C22×C7—44no—
426C22×C7—44no—
427C22×C7—42no—
428C22×C7—42no—
429C22×C7—42no—
430C22×C7—42no—
431C22×C7—42no—
432C22×C7—42no—
433C22×C7—42no—
434C22×C7—42no—
435C22×C7C22×C4211yescharacteristic
436C22×C7C2×C4×D412yes—
437C22×C7C2×C4×D412yes—
438C22×C7C2×C4×D412yes—
439C22×C7C4×#4112yes—
440C22×C7C4×#4112yes—
441C22×C7C4×#4112yes—
442C22×C7#51811yescharacteristic
443C22×C7#51811yescharacteristic
444C22×C7#51811yescharacteristic
445C22×C7#51811yescharacteristic
446C22×C7#51811yescharacteristic
447C22×C7#51811yescharacteristic
448C22×C7D4211yescharacteristic
449C22×C7#54612yes—
450C22×C7#54612yes—
451C22×C7#55012yes—
452C22×C7#55111yescharacteristic
453C22×C7#55111yescharacteristic
454C22×C7#55312yes—
455C22×C7#55312yes—
456C22×C7#55512yes—
457C22×C7#55911yescharacteristic
458C4×C7—28no—
459C4×C7—24no—
460C4×C7—44no—
461Dic7—28no—
462Dic7—28no—
463Dic7—44no—
464Dic7—44no—
465C24—22no—
466C24—22no—
467C24—22no—
468C24—22no—
469C24—21no—
470C24—21no—
471C24—21no—
472C24—21no—
473C24—21no—
474C24—21no—
475C24—21no—
476C24—21no—
477C24—22no—
478C24—22no—
479C24—22no—
480C24—22no—
481C24C2×C4×D712yes—
482C24C2×C4×D712yes—
483C24C2×C4×D712yes—
484C24C2×C4×D712yes—
485C24C22×Dic712yes—
486C24C22×Dic712yes—
487C24C23×D711yescharacteristic
488C2×D4—44no—
489C2×D4—44no—
490C2×D4—44no—
491C2×D4—44no—
492C2×D4—44no—
493C2×D4—44no—
494C2×D4C4×Dic7116yescomplemented
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—216no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—48no—
514C22×C4—74no—
515C22×C4—74no—
516C22×C4—74no—
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—284no—
544C22×C4—284no—
545C22×C4—288no—
546C22×C4—284no—
547C22×C4C2×C4×D712yes—
548C22×C4C2×C4×D712yes—
549C22×C4D4×D714yes—
550C22×C4#115914yes—
551C22×C4C22×Dic714yes—
552C22×C4C22×Dic712yes—
553C22×C4C22×Dic714yes—
554C4⋊C4—284no—
555C22⋊C4—216no—
556C22⋊C4—44no—
557C22⋊C4—1416no—
558C22⋊C4—1416no—
559C22⋊C4—1416no—
560C22⋊C4—284no—
561C42—284no—
562C42—288no—
563C42—288no—
564C42—288no—
565C2×C7—44no—
566C2×C7—44no—
567C2×C7C42×D412yes—
568C2×C7#227311yescharacteristic
569C2×C7#235811yescharacteristic
570C2×C7#235811yescharacteristic
571C2×C7#236312yes—
572C2×C7#236312yes—
573C2×C7#236412yes—
574C2×C7#236611yescharacteristic
575C2×C7#237211yescharacteristic
576C2×C7#237411yescharacteristic
577C2×C7#237411yescharacteristic
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—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—24no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—41no—
617C23—41no—
618C23—42no—
619C23—42no—
620C23—41no—
621C23—41no—
622C23C2×C4×Dic714yes—
623C23C2×C4×Dic714yes—
624C23C22×C4×D711yescharacteristic
625C23C22×C4×D711yescharacteristic
626C23C2×D4×D712yes—
627C23C2×#115912yes—
628C23#654811yescharacteristic
629C23#654811yescharacteristic
630C23#654811yescharacteristic
631C23#654811yescharacteristic
632C23D7×#4112yes—
633C23D7×#4112yes—
634C23C23×Dic711yescharacteristic
635D4—416no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—416no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—78no—
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—144no—
671C2×C4—144no—
672C2×C4—144no—
673C2×C4—144no—
674C2×C4—144no—
675C2×C4—144no—
676C2×C4—2816no—
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×C4C2×C4×Dic714yes—
686C2×C4D4×Dic718yes—
687C7#1382411yescharacteristic, complemented, Sylow
688C22—28no—
689C22—28no—
690C22—24no—
691C22—24no—
692C22—42no—
693C22—42no—
694C22—44no—
695C22—44no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—44no—
701C22—44no—
702C22—42no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—44no—
709C22—44no—
710C22#9017711yescharacteristic
711C22#9017711yescharacteristic
712C22#9017711yescharacteristic
713C22#9017711yescharacteristic
714C22C4×#115912yes—
715C22C4×#115912yes—
716C22C4×D4×D712yes—
717C22C4×D4×D712yes—
718C22#9027811yescharacteristic
719C22#9028111yescharacteristic
720C22#9028212yes—
721C22#9029012yes—
722C22#9030312yes—
723C22#9030512yes—
724C22#9030712yes—
725C22#9035011yescharacteristic
726C22#9035212yes—
727C22#9035511yescharacteristic
728C22C22×C4×Dic711yescharacteristic
729C22C2×D4×Dic712yes—
730C22#9048911yescharacteristic
731C22#9048911yescharacteristic
732C22#41×Dic712yes—
733C4—28no—
734C4—24no—
735C4—44no—
736C4—148no—
737C4—148no—
738C4—284no—
739C4—284no—
740C2—44no—
741C2—44no—
742C2#1173212212yes—
743C2#1173212411yescharacteristic
744C2#1173212511yescharacteristic
745C2#1173212611yescharacteristic
746C2#1173232511yescharacteristic
747C2#1173232612yes—
748C2#1173952811yescharacteristic
749C2C4×D4×Dic712yes—
750C2#1174002411yescharacteristic
751C2#1174008212yes—
752C2#1174028411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D7
commutatorC22×C7C22×C42
FittingC2×C7×#386C2
socle, cosocleC24×C7C24
prime radicalC23×C7×D4C22
hypercenterC2×#386D7
hypocenterC7#13824
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C24 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
4. C2×C4×C22⋊Dic7C2semidirect
5. C2×C22⋊C4×Dic7C2semidirect
6. #11729299C2semidirect
7. #11729299C2semidirect
8. #11727161C2semidirect
9. Dic7×#95C2semidirect
24. C7×#386C4semidirect
26. #89993C4semidirect
27. #89992C4semidirect
50. C23×C4×C7C2×C4semidirect
58. C23×Dic7C2×C4semidirect
68. C2×C7×C22⋊C4C2×C4semidirect
78. C2×C22⋊Dic7C2×C4semidirect
79. C2×C22⋊Dic7C2×C4semidirect
80. C2×C22⋊Dic7C2×C4semidirect
83. C2×C4⋊Dic7C2×C4semidirect
95. C2×C4×Dic7C2×C4semidirect
96. C7×#95C2×C4semidirect
101. C7⋊#95C2×C4semidirect
102. C7⋊#95D4semidirect
141. C2×C7×D4C42semidirect
228. #386Dic7semidirect
369. C23×C4C2×Dic7semidirect
393. C2×C22⋊C4C2×Dic7semidirect
412. #95C2×Dic7semidirect
494. C2×D4C4×Dic7semidirect
687. C7#13824semidirect

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×C4×C22⋊Dic72
C2×C22⋊C4×Dic72
#117292992
#117271612
Dic7×#952
#138247